HowManyNumbers Logo

Greatest Common Divisor (GCD) of 94 and 158

The greatest common divisor (GCD) of 94 and 158 is 2.

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 94 and 158?

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 94 ÷ 158 = 0 remainder 94
2 158 ÷ 94 = 1 remainder 64
3 94 ÷ 64 = 1 remainder 30
4 64 ÷ 30 = 2 remainder 4
5 30 ÷ 4 = 7 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of GCD Calculations

NumbersGCD
18 and 1686
65 and 1281
194 and 1462
193 and 1331
131 and 1421

Try Calculating GCD of Other Numbers







Related Calculators