GCD of 557, 976, 951, 524 Calculator

Given Input numbers are 557, 976, 951, 524

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 557, 976, 951, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 976, 951, 524 is 1.

Therefore, GCD of numbers 557, 976, 951, 524 is 1

Given Input Data is 557, 976, 951, 524

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

Prime Factorization of 557 is 557

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 951 is 3 x 317

Prime Factorization of 524 is 2 x 2 x 131

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(557, 976) = 543632

GCD(557, 976) = ( 557 x 976 ) / 543632

GCD(557, 976) = 543632 / 543632

GCD(557, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 951

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

LCM(1, 951) = 951

GCD(1, 951) = ( 1 x 951 ) / 951

GCD(1, 951) = 951 / 951

GCD(1, 951) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 557, 976, 951, 524 is 1

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1. What is the GCD of 557, 976, 951, 524?

GCD of 557, 976, 951, 524 is 1

2. Where do I get the detailed procedure to find GCD of 557, 976, 951, 524?

You can find a detailed procedure to find GCD of 557, 976, 951, 524 on our page.

3. How to find GCD of 557, 976, 951, 524 on a calculator?

You can find the GCD of 557, 976, 951, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.