GCD of 507, 524, 975, 952 Calculator

Given Input numbers are 507, 524, 975, 952

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 524

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

1, 2, 4, 131, 262, 524

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 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 507, 524, 975, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 524, 975, 952 is 1.

Therefore, GCD of numbers 507, 524, 975, 952 is 1

Given Input Data is 507, 524, 975, 952

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 524 is 2 x 2 x 131

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

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(507, 524) = 265668

GCD(507, 524) = ( 507 x 524 ) / 265668

GCD(507, 524) = 265668 / 265668

GCD(507, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 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 507, 524, 975, 952 is 1

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1. What is the GCD of 507, 524, 975, 952?

GCD of 507, 524, 975, 952 is 1

2. Where do I get the detailed procedure to find GCD of 507, 524, 975, 952?

You can find a detailed procedure to find GCD of 507, 524, 975, 952 on our page.

3. How to find GCD of 507, 524, 975, 952 on a calculator?

You can find the GCD of 507, 524, 975, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.