HowManyNumbers Logo

Greatest Common Divisor (GCD) of 64 and 157

The greatest common divisor (GCD) of 64 and 157 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 64 and 157?

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 64 ÷ 157 = 0 remainder 64
2 157 ÷ 64 = 2 remainder 29
3 64 ÷ 29 = 2 remainder 6
4 29 ÷ 6 = 4 remainder 5
5 6 ÷ 5 = 1 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of GCD Calculations

NumbersGCD
182 and 1742
107 and 631
27 and 941
70 and 1091
26 and 162

Try Calculating GCD of Other Numbers







Related Calculators