GCD of 180, 106, 979, 357 Calculator

Given Input numbers are 180, 106, 979, 357

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 979

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

1, 11, 89, 979

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 180, 106, 979, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 106, 979, 357 is 1.

Therefore, GCD of numbers 180, 106, 979, 357 is 1

Given Input Data is 180, 106, 979, 357

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 106 is 2 x 53

Prime Factorization of 979 is 11 x 89

Prime Factorization of 357 is 3 x 7 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(180, 106) = 9540

GCD(180, 106) = ( 180 x 106 ) / 9540

GCD(180, 106) = 19080 / 9540

GCD(180, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 979

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

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

GCD(2, 979) = 1958 / 1958

GCD(2, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 180, 106, 979, 357 is 1

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1. What is the GCD of 180, 106, 979, 357?

GCD of 180, 106, 979, 357 is 1

2. Where do I get the detailed procedure to find GCD of 180, 106, 979, 357?

You can find a detailed procedure to find GCD of 180, 106, 979, 357 on our page.

3. How to find GCD of 180, 106, 979, 357 on a calculator?

You can find the GCD of 180, 106, 979, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.