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Sagot :
The GCD of 512 and 240 is 16
What is the Euclidean algorithm?
The Euclidean Algorithm for determining GCD(A,B) is as follows: If A = 0, then GCD(A,B)=B, because GCD(0,B)=B, and we can stop. If B = 0, then GCD(A,B)=A because GCD(A,0)=A, and we can stop. Write A in quotient remainder form (A = BQ + R). GCD(B,R) can be found using the Euclidean Algorithm because GCD(A,B) = GCD(B,R) (B,R)
steps:
Create a division problem in which an is greater than b.
a/b = c with R as the remainder Make the division. Then, replace a with b, then R, and repeat the division. Repeat the process until R = 0.
512 ÷ 240 = 2 R 32 (512 = 2 × 240 + 32)
240 ÷ 32 = 7 R 16 (240 = 7 × 32 + 16)
32 ÷ 16 = 2 R 0 (32 = 2 × 16 + 0)
When remainder R = 0, the GCF is the divisor, b, in the last equation. GCF = 16
Hence to conclude GCD is 16
To know more on GCD follow this link:
https://brainly.com/question/24836675
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