HowManyNumbers Logo

Greatest Common Divisor (GCD) of 37 and 79

The greatest common divisor (GCD) of 37 and 79 is 1.

What is the Greatest Common Divisor (GCD)?

The GCD of two integers is the largest positive integer that divides both numbers without leaving a remainder. It is useful in simplifying fractions, finding common factors, and in number theory.

How to Calculate the GCD of 37 and 79?

We use the Euclidean algorithm, which involves the following steps:

  1. Divide the larger number by the smaller number.
  2. Replace the larger number with the smaller number and the smaller number with the remainder from the division.
  3. Repeat this process until the remainder is zero.
  4. The non-zero remainder just before zero is the GCD.

Step-by-Step Euclidean Algorithm

StepCalculation
1 37 ÷ 79 = 0 remainder 37
2 79 ÷ 37 = 2 remainder 5
3 37 ÷ 5 = 7 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of GCD Calculations

NumbersGCD
82 and 1762
17 and 731
185 and 1931
113 and 1841
55 and 11055

Try Calculating GCD of Other Numbers







Related Calculators