HowManyNumbers Logo

Greatest Common Divisor (GCD) of 31 and 161

The greatest common divisor (GCD) of 31 and 161 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 31 and 161?

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 31 ÷ 161 = 0 remainder 31
2 161 ÷ 31 = 5 remainder 6
3 31 ÷ 6 = 5 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of GCD Calculations

NumbersGCD
141 and 1131
194 and 922
44 and 1891
63 and 1023
32 and 351

Try Calculating GCD of Other Numbers







Related Calculators