GCD of 100, 979, 395, 136 Calculator

Given Input numbers are 100, 979, 395, 136

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 100, 979, 395, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 979, 395, 136 is 1.

Therefore, GCD of numbers 100, 979, 395, 136 is 1

Given Input Data is 100, 979, 395, 136

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 979 is 11 x 89

Prime Factorization of 395 is 5 x 79

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(100, 979) = 97900

GCD(100, 979) = ( 100 x 979 ) / 97900

GCD(100, 979) = 97900 / 97900

GCD(100, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 100, 979, 395, 136 is 1

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1. What is the GCD of 100, 979, 395, 136?

GCD of 100, 979, 395, 136 is 1

2. Where do I get the detailed procedure to find GCD of 100, 979, 395, 136?

You can find a detailed procedure to find GCD of 100, 979, 395, 136 on our page.

3. How to find GCD of 100, 979, 395, 136 on a calculator?

You can find the GCD of 100, 979, 395, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.