HowManyNumbers Logo

Greatest Common Divisor (GCD) of 147 and 124

The greatest common divisor (GCD) of 147 and 124 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 147 and 124?

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
1 147 ÷ 124 = 1 remainder 23
2 124 ÷ 23 = 5 remainder 9
3 23 ÷ 9 = 2 remainder 5
4 9 ÷ 5 = 1 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of GCD Calculations

NumbersGCD
79 and 1231
102 and 1211
37 and 881
73 and 1421
133 and 1851

Try Calculating GCD of Other Numbers







Related Calculators