GCD of 975, 108, 632 Calculator

Given Input numbers are 975, 108, 632

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 975, 108, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 108, 632 is 1.

Therefore, GCD of numbers 975, 108, 632 is 1

Given Input Data is 975, 108, 632

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(975, 108) = 35100

GCD(975, 108) = ( 975 x 108 ) / 35100

GCD(975, 108) = 105300 / 35100

GCD(975, 108) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 632

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

LCM(3, 632) = 1896

GCD(3, 632) = ( 3 x 632 ) / 1896

GCD(3, 632) = 1896 / 1896

GCD(3, 632) = 1

GCD of 975, 108, 632 is 1

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1. What is the GCD of 975, 108, 632?

GCD of 975, 108, 632 is 1

2. Where do I get the detailed procedure to find GCD of 975, 108, 632?

You can find a detailed procedure to find GCD of 975, 108, 632 on our page.

3. How to find GCD of 975, 108, 632 on a calculator?

You can find the GCD of 975, 108, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.