The Euclidean Algorithm for finding GCD(A,B) is as follows:
If A = 0 then GCD(A,B)=B, since the GCD(0,B)=B, and we can stop.
If B = 0 then GCD(A,B)=A, since the GCD(A,0)=A, and we can stop.
Write A in quotient remainder form (A = B⋅Q + R)
Find GCD(B,R) using the Euclidean Algorithm since GCD(A,B) = GCD(B,R)
As per the LCM method, we can obtain the GCD of any two positive integers by finding the product of both the numbers and the least common multiple of both numbers. LCM method to obtain the greatest common divisor is given as GCD (a, b) = (a × b)/ LCM (a, b).
Step-by-step explanation:
Take the two numbers and repeatedly subtract the smaller from the larger until they are equal. That number is the GCD. The LCM is then the product of the two numbers divided by the GCD. For example, if the numbers are 1001 and 154, we repeatedly subtract 154 from 1001 until the two numbers are 77 and 154.
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✨ANSWERS✨
The Euclidean Algorithm for finding GCD(A,B) is as follows:
If A = 0 then GCD(A,B)=B, since the GCD(0,B)=B, and we can stop.
If B = 0 then GCD(A,B)=A, since the GCD(A,0)=A, and we can stop.
Write A in quotient remainder form (A = B⋅Q + R)
Find GCD(B,R) using the Euclidean Algorithm since GCD(A,B) = GCD(B,R)
As per the LCM method, we can obtain the GCD of any two positive integers by finding the product of both the numbers and the least common multiple of both numbers. LCM method to obtain the greatest common divisor is given as GCD (a, b) = (a × b)/ LCM (a, b).
Step-by-step explanation:
Take the two numbers and repeatedly subtract the smaller from the larger until they are equal. That number is the GCD. The LCM is then the product of the two numbers divided by the GCD. For example, if the numbers are 1001 and 154, we repeatedly subtract 154 from 1001 until the two numbers are 77 and 154.
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