QuestionFind the GCD of 84 and 56. The GCD of 84 and 56 is $$.
Studdy Solution
STEP 1
Assumptions1. We are asked to find the greatest common divisor (GCD) of84 and56. . The GCD of two numbers is the largest number that divides both of them without leaving a remainder.
STEP 2
We will use the Euclidean algorithm to find the GCD. The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger number is replaced by its difference with the smaller number.
STEP 3
First, divide the larger number (84) by the smaller number (56) and find the remainder.
STEP 4
Now, replace the larger number (84) with the smaller number (56) and the smaller number with the remainder (28). Then, repeat the division.
STEP 5
The remainder is now0, which means that28 is the greatest common divisor of84 and56.
So, the greatest common divisor of84 and56 is28.
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