GCD of 979, 756, 198, 319 Calculator

Given Input numbers are 979, 756, 198, 319

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 979, 756, 198, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 756, 198, 319 is 1.

Therefore, GCD of numbers 979, 756, 198, 319 is 1

Given Input Data is 979, 756, 198, 319

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 319 is 11 x 29

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, 756) = 740124

GCD(979, 756) = ( 979 x 756 ) / 740124

GCD(979, 756) = 740124 / 740124

GCD(979, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 979, 756, 198, 319 is 1

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1. What is the GCD of 979, 756, 198, 319?

GCD of 979, 756, 198, 319 is 1

2. Where do I get the detailed procedure to find GCD of 979, 756, 198, 319?

You can find a detailed procedure to find GCD of 979, 756, 198, 319 on our page.

3. How to find GCD of 979, 756, 198, 319 on a calculator?

You can find the GCD of 979, 756, 198, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.