HowManyNumbers Logo

Greatest Common Divisor (GCD) of 181 and 155

The greatest common divisor (GCD) of 181 and 155 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 181 and 155?

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
1 181 ÷ 155 = 1 remainder 26
2 155 ÷ 26 = 5 remainder 25
3 26 ÷ 25 = 1 remainder 1
4 25 ÷ 1 = 25 remainder 0

Examples of GCD Calculations

NumbersGCD
197 and 1451
130 and 15626
185 and 891
126 and 2814
71 and 1491

Try Calculating GCD of Other Numbers







Related Calculators