GCD of 286, 124, 108 Calculator

Given Input numbers are 286, 124, 108

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 286, 124, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 124, 108 is 2.

Therefore, GCD of numbers 286, 124, 108 is 2

Given Input Data is 286, 124, 108

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(286, 124) = 17732

GCD(286, 124) = ( 286 x 124 ) / 17732

GCD(286, 124) = 35464 / 17732

GCD(286, 124) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 286, 124, 108 is 2

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1. What is the GCD of 286, 124, 108?

GCD of 286, 124, 108 is 2

2. Where do I get the detailed procedure to find GCD of 286, 124, 108?

You can find a detailed procedure to find GCD of 286, 124, 108 on our page.

3. How to find GCD of 286, 124, 108 on a calculator?

You can find the GCD of 286, 124, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.