GCD of 975, 157, 119, 928 Calculator

Given Input numbers are 975, 157, 119, 928

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 119

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

1, 7, 17, 119

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 975, 157, 119, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 157, 119, 928 is 1.

Therefore, GCD of numbers 975, 157, 119, 928 is 1

Given Input Data is 975, 157, 119, 928

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 157 is 157

Prime Factorization of 119 is 7 x 17

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 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(975, 157) = 153075

GCD(975, 157) = ( 975 x 157 ) / 153075

GCD(975, 157) = 153075 / 153075

GCD(975, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

GCD of 975, 157, 119, 928 is 1

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1. What is the GCD of 975, 157, 119, 928?

GCD of 975, 157, 119, 928 is 1

2. Where do I get the detailed procedure to find GCD of 975, 157, 119, 928?

You can find a detailed procedure to find GCD of 975, 157, 119, 928 on our page.

3. How to find GCD of 975, 157, 119, 928 on a calculator?

You can find the GCD of 975, 157, 119, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.