To find the highest common factor (HCF) of two numbers using Euclid's division algorithm, you repeatedly apply division until you get a remainder of 0. Here's how to find the HCF of 3625 and 4644:
1. Divide 4644 by 3625:
- Quotient = 1
- Remainder = 1019
2. Now, divide 3625 by the remainder (1019):
- Quotient = 3
- Remainder = 568
3. Next, divide the remainder (1019) by 568:
- Quotient = 1
- Remainder = 451
4. Continue by dividing 568 by 451:
- Quotient = 1
- Remainder = 117
5. Divide 451 by 117:
- Quotient = 3
- Remainder = 100
6. Finally, divide 117 by 100:
- Quotient = 1
- Remainder = 17
Since we've reached a remainder of 17, and we cannot proceed any further, the HCF of 3625 and 4644 is 17.
Answers & Comments
Step-by-step explanation:
To find the highest common factor (HCF) of two numbers using Euclid's division algorithm, you repeatedly apply division until you get a remainder of 0. Here's how to find the HCF of 3625 and 4644:
1. Divide 4644 by 3625:
- Quotient = 1
- Remainder = 1019
2. Now, divide 3625 by the remainder (1019):
- Quotient = 3
- Remainder = 568
3. Next, divide the remainder (1019) by 568:
- Quotient = 1
- Remainder = 451
4. Continue by dividing 568 by 451:
- Quotient = 1
- Remainder = 117
5. Divide 451 by 117:
- Quotient = 3
- Remainder = 100
6. Finally, divide 117 by 100:
- Quotient = 1
- Remainder = 17
Since we've reached a remainder of 17, and we cannot proceed any further, the HCF of 3625 and 4644 is 17.
So, the HCF of 3625 and 4644 is 17.