GCD of 531, 975, 557, 952 Calculator

Given Input numbers are 531, 975, 557, 952

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

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 557

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

1, 557

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 531, 975, 557, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 975, 557, 952 is 1.

Therefore, GCD of numbers 531, 975, 557, 952 is 1

Given Input Data is 531, 975, 557, 952

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

Prime Factorization of 531 is 3 x 3 x 59

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

Prime Factorization of 557 is 557

Prime Factorization of 952 is 2 x 2 x 2 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(531, 975) = 172575

GCD(531, 975) = ( 531 x 975 ) / 172575

GCD(531, 975) = 517725 / 172575

GCD(531, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 557

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

LCM(3, 557) = 1671

GCD(3, 557) = ( 3 x 557 ) / 1671

GCD(3, 557) = 1671 / 1671

GCD(3, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 531, 975, 557, 952 is 1

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1. What is the GCD of 531, 975, 557, 952?

GCD of 531, 975, 557, 952 is 1

2. Where do I get the detailed procedure to find GCD of 531, 975, 557, 952?

You can find a detailed procedure to find GCD of 531, 975, 557, 952 on our page.

3. How to find GCD of 531, 975, 557, 952 on a calculator?

You can find the GCD of 531, 975, 557, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.