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Greatest Common Divisor (GCD) of 94 and 60

The greatest common divisor (GCD) of 94 and 60 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 60?

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 ÷ 60 = 1 remainder 34
2 60 ÷ 34 = 1 remainder 26
3 34 ÷ 26 = 1 remainder 8
4 26 ÷ 8 = 3 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of GCD Calculations

NumbersGCD
47 and 631
121 and 8811
144 and 1113
58 and 1382
94 and 731

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