GCD of 876, 974, 135, 108 Calculator

Given Input numbers are 876, 974, 135, 108

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

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 876, 974, 135, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 974, 135, 108 is 1.

Therefore, GCD of numbers 876, 974, 135, 108 is 1

Given Input Data is 876, 974, 135, 108

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 974 is 2 x 487

Prime Factorization of 135 is 3 x 3 x 3 x 5

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

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(876, 974) = 426612

GCD(876, 974) = ( 876 x 974 ) / 426612

GCD(876, 974) = 853224 / 426612

GCD(876, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 876, 974, 135, 108 is 1

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1. What is the GCD of 876, 974, 135, 108?

GCD of 876, 974, 135, 108 is 1

2. Where do I get the detailed procedure to find GCD of 876, 974, 135, 108?

You can find a detailed procedure to find GCD of 876, 974, 135, 108 on our page.

3. How to find GCD of 876, 974, 135, 108 on a calculator?

You can find the GCD of 876, 974, 135, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.