GCD of 119, 679, 756, 137 Calculator

Given Input numbers are 119, 679, 756, 137

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 119, 679, 756, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 679, 756, 137 is 1.

Therefore, GCD of numbers 119, 679, 756, 137 is 1

Given Input Data is 119, 679, 756, 137

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 679 is 7 x 97

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

Prime Factorization of 137 is 137

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(119, 679) = 11543

GCD(119, 679) = ( 119 x 679 ) / 11543

GCD(119, 679) = 80801 / 11543

GCD(119, 679) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 756

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

LCM(7, 756) = 756

GCD(7, 756) = ( 7 x 756 ) / 756

GCD(7, 756) = 5292 / 756

GCD(7, 756) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 137

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

LCM(7, 137) = 959

GCD(7, 137) = ( 7 x 137 ) / 959

GCD(7, 137) = 959 / 959

GCD(7, 137) = 1

GCD of 119, 679, 756, 137 is 1

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1. What is the GCD of 119, 679, 756, 137?

GCD of 119, 679, 756, 137 is 1

2. Where do I get the detailed procedure to find GCD of 119, 679, 756, 137?

You can find a detailed procedure to find GCD of 119, 679, 756, 137 on our page.

3. How to find GCD of 119, 679, 756, 137 on a calculator?

You can find the GCD of 119, 679, 756, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.