GCD of 149, 108, 959 Calculator

Given Input numbers are 149, 108, 959

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 149, 108, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 108, 959 is 1.

Therefore, GCD of numbers 149, 108, 959 is 1

Given Input Data is 149, 108, 959

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

Prime Factorization of 149 is 149

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

Prime Factorization of 959 is 7 x 137

The above numbers do not have any common prime factor. So GCD is 1

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(149, 108) = 16092

GCD(149, 108) = ( 149 x 108 ) / 16092

GCD(149, 108) = 16092 / 16092

GCD(149, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 149, 108, 959 is 1

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1. What is the GCD of 149, 108, 959?

GCD of 149, 108, 959 is 1

2. Where do I get the detailed procedure to find GCD of 149, 108, 959?

You can find a detailed procedure to find GCD of 149, 108, 959 on our page.

3. How to find GCD of 149, 108, 959 on a calculator?

You can find the GCD of 149, 108, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.