GCD of 539, 825, 57, 979 Calculator

Given Input numbers are 539, 825, 57, 979

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

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 979

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

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 539, 825, 57, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 825, 57, 979 is 1.

Therefore, GCD of numbers 539, 825, 57, 979 is 1

Given Input Data is 539, 825, 57, 979

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

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 979 is 11 x 89

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(539, 825) = 40425

GCD(539, 825) = ( 539 x 825 ) / 40425

GCD(539, 825) = 444675 / 40425

GCD(539, 825) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 57

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

LCM(11, 57) = 627

GCD(11, 57) = ( 11 x 57 ) / 627

GCD(11, 57) = 627 / 627

GCD(11, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 539, 825, 57, 979 is 1

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1. What is the GCD of 539, 825, 57, 979?

GCD of 539, 825, 57, 979 is 1

2. Where do I get the detailed procedure to find GCD of 539, 825, 57, 979?

You can find a detailed procedure to find GCD of 539, 825, 57, 979 on our page.

3. How to find GCD of 539, 825, 57, 979 on a calculator?

You can find the GCD of 539, 825, 57, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.