GCD of 979, 315, 790, 100 Calculator

Given Input numbers are 979, 315, 790, 100

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

Divisors of 979

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

1, 11, 89, 979

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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

Greatest Common Divisior

We found the divisors of 979, 315, 790, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 315, 790, 100 is 1.

Therefore, GCD of numbers 979, 315, 790, 100 is 1

Given Input Data is 979, 315, 790, 100

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 790 is 2 x 5 x 79

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

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(979, 315) = 308385

GCD(979, 315) = ( 979 x 315 ) / 308385

GCD(979, 315) = 308385 / 308385

GCD(979, 315) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 979, 315, 790, 100 is 1

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1. What is the GCD of 979, 315, 790, 100?

GCD of 979, 315, 790, 100 is 1

2. Where do I get the detailed procedure to find GCD of 979, 315, 790, 100?

You can find a detailed procedure to find GCD of 979, 315, 790, 100 on our page.

3. How to find GCD of 979, 315, 790, 100 on a calculator?

You can find the GCD of 979, 315, 790, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.