of two or more numbers is the largest number that is common to the factors of the given numbers. There are different ways of finding the GCF of two or more numbers.
A common factor of two or more numbers is the factor that is common to the numbers.
Example: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 18: 1, 2, 3, 6, 9, 18 Common Factors of 24 and 18: 1, 2, 3, 6
Example: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 18: 1, 2, 3, 6, 9, 18 Common Factors of 24 and 18: 1, 2, 3, 6 Greatest common factor (GCF) of 24 and 18: 6
1. Listing Method
1. Listing Method This method is done by listing all the factors of the given numbers and identifying
1. Listing Method This method is done by listing all the factors of the given numbers and identifying the largest among the common factors.
Examples:
Examples: A. Use listing method in finding the GCF of 12 and 16.
Solution:
Solution: The factors of 12 are 1, 2, 3, 4, 6 and 12. 12 1, 2, 3, 4, 6, 12
Solution: The factors of 12 are 1, 2, 3, 4, 6 and 12. 12 1, 2, 3, 4, 6, 12 The factors of 16 are 1, 2, 4, 8 and 16. 16 1, 2, 4, 8, 16
Solution: The factors of 12 are 1, 2, 3, 4, 6 and 12. 12 1, 2, 3, 4, 6, 12 The factors of 16 are 1, 2, 4, 8 and 16. 16 1, 2, 4, 8, 16 The common factors are 2 and 4, but 4 is greater than 2.
Solution: The factors of 12 are 1, 2, 3, 4, 6 and 12. 12 1, 2, 3, 4, 6, 12 The factors of 16 are 1, 2, 4, 8 and 16. 16 1, 2, 4, 8, 16 The common factors are 2 and 4, but 4 is greater than 2. Therefore, the GCF is 4.
B. List down all the factors of 18 and 27.
B. List down all the factors of 18 and 27. GCF
Solution:
The factors of 18 are 1, 2, 3, 6, 9, 18. 18 1, 2, 3, 6, 9, 18
The factors of 18 are 1, 2, 3, 6, 9, 18. 18 1, 2, 3, 6, 9, 18 The factors of 27 are 1, 3, 9, 27. 27 1, 3, 9, 27
The factors of 18 are 1, 2, 3, 6, 9, 18. 18 1, 2, 3, 6, 9, 18 The factors of 27 are 1, 3, 9, 27. 27 1, 3, 9, 27 The common factors are 1, 3 and 9, but 9 is greater than 1 and 3.
The factors of 18 are 1, 2, 3, 6, 9, 18. 18 1, 2, 3, 6, 9, 18 The factors of 27 are 1, 3, 9, 27. 27 1, 3, 9, 27 The common factors are 1, 3 and 9, but 9 is greater than 1 and 3. Therefore, the GCF is 9.
Continuous Division Method
Continuous Division Method This method consist continuously dividing the given numbers by their common
Continuous Division Method This method consist continuously dividing the given numbers by their common factors until there is no other common divisor, except 1 that can be used to divide these
Continuous Division Method This method consist continuously dividing the given numbers by their common factors until there is no other common divisor, except 1 that can be used to divide these numbers.
The product of all the common divisors usedin
the GCF of the numbers.
Examples:
Examples: A. Find the GCF of 36 and 48 using the continuous division method.
Examples: A. Find the GCF of 36 and 48 using the continuous division method. Solution:
Divideboth36and48by2.
The result which are 18 and 24 are divisible also by 2.
The result which are 18 and 24 are divisible also by 2. Lastly, use 3 as a divisor of 9 and 12.
Since the last quotients are 3 and 4 and there is no other number that can be used as
Since the last quotients are 3 and 4 and there is no other number that can be used as the divisor of the two numbers except by 1, then the product of all the common factors is
Since the last quotients are 3 and 4 and there is no other number that can be used as the divisor of the two numbers except by 1, then the product of all the common factors is the GCF.
Since the last quotients are 3 and 4 and there is no other number that can be used as the divisor of the two numbers except by 1, then the product of all the common factors is the GCF. 2 x 2 x 3 = 12
Since the last quotients are 3 and 4 and there is no other number that can be used as the divisor of the two numbers except by 1, then the product of all the common factors is the GCF. 2 x 2 x 3 = 12 Therefore, the GCF is 12.
Answers & Comments
• STEP-BY-STEP EXPLANATION
The Greatest Common Factor (GCF)
of two or more numbers is the largest number that
of two or more numbers is the largest number that is common to the factors of the given numbers. There are different ways of finding the GCF of two or more numbers.
A common factor of two or more numbers is the factor that is common to the numbers.
Example: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Example: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 18: 1, 2, 3, 6, 9, 18
Example: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 18: 1, 2, 3, 6, 9, 18 Common Factors of 24 and 18: 1, 2, 3, 6
Example: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 18: 1, 2, 3, 6, 9, 18 Common Factors of 24 and 18: 1, 2, 3, 6 Greatest common factor (GCF) of 24 and 18: 6
1. Listing Method
1. Listing Method This method is done by listing all the factors of the given numbers and identifying
1. Listing Method This method is done by listing all the factors of the given numbers and identifying the largest among the common factors.
Examples:
Examples: A. Use listing method in finding the GCF of 12 and 16.
Solution:
Solution: The factors of 12 are 1, 2, 3, 4, 6 and 12. 12 1, 2, 3, 4, 6, 12
Solution: The factors of 12 are 1, 2, 3, 4, 6 and 12. 12 1, 2, 3, 4, 6, 12 The factors of 16 are 1, 2, 4, 8 and 16. 16 1, 2, 4, 8, 16
Solution: The factors of 12 are 1, 2, 3, 4, 6 and 12. 12 1, 2, 3, 4, 6, 12 The factors of 16 are 1, 2, 4, 8 and 16. 16 1, 2, 4, 8, 16 The common factors are 2 and 4, but 4 is greater than 2.
Solution: The factors of 12 are 1, 2, 3, 4, 6 and 12. 12 1, 2, 3, 4, 6, 12 The factors of 16 are 1, 2, 4, 8 and 16. 16 1, 2, 4, 8, 16 The common factors are 2 and 4, but 4 is greater than 2. Therefore, the GCF is 4.
B. List down all the factors of 18 and 27.
B. List down all the factors of 18 and 27. GCF
Solution:
The factors of 18 are 1, 2, 3, 6, 9, 18. 18 1, 2, 3, 6, 9, 18
The factors of 18 are 1, 2, 3, 6, 9, 18. 18 1, 2, 3, 6, 9, 18 The factors of 27 are 1, 3, 9, 27. 27 1, 3, 9, 27
The factors of 18 are 1, 2, 3, 6, 9, 18. 18 1, 2, 3, 6, 9, 18 The factors of 27 are 1, 3, 9, 27. 27 1, 3, 9, 27 The common factors are 1, 3 and 9, but 9 is greater than 1 and 3.
The factors of 18 are 1, 2, 3, 6, 9, 18. 18 1, 2, 3, 6, 9, 18 The factors of 27 are 1, 3, 9, 27. 27 1, 3, 9, 27 The common factors are 1, 3 and 9, but 9 is greater than 1 and 3. Therefore, the GCF is 9.
Continuous Division Method
Continuous Division Method This method consist continuously dividing the given numbers by their common
Continuous Division Method This method consist continuously dividing the given numbers by their common factors until there is no other common divisor, except 1 that can be used to divide these
Continuous Division Method This method consist continuously dividing the given numbers by their common factors until there is no other common divisor, except 1 that can be used to divide these numbers.
The product of all the common divisors used in
the GCF of the numbers.
Examples:
Examples: A. Find the GCF of 36 and 48 using the continuous division method.
Examples: A. Find the GCF of 36 and 48 using the continuous division method. Solution:
Divide both 36 and 48 by 2.
The result which are 18 and 24 are divisible also by 2.
The result which are 18 and 24 are divisible also by 2. Lastly, use 3 as a divisor of 9 and 12.
Since the last quotients are 3 and 4 and there is no other number that can be used as
Since the last quotients are 3 and 4 and there is no other number that can be used as the divisor of the two numbers except by 1, then the product of all the common factors is
Since the last quotients are 3 and 4 and there is no other number that can be used as the divisor of the two numbers except by 1, then the product of all the common factors is the GCF.
Since the last quotients are 3 and 4 and there is no other number that can be used as the divisor of the two numbers except by 1, then the product of all the common factors is the GCF. 2 x 2 x 3 = 12
Since the last quotients are 3 and 4 and there is no other number that can be used as the divisor of the two numbers except by 1, then the product of all the common factors is the GCF. 2 x 2 x 3 = 12 Therefore, the GCF is 12.
( i just explained it all to you... I'm going to try to Answer that tomorrow morning.. I need to sleep now.. Bye! Have a good night and hope u understand it <3)