GCD of 516, 125, 117, 504 Calculator

Given Input numbers are 516, 125, 117, 504

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 516, 125, 117, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 125, 117, 504 is 1.

Therefore, GCD of numbers 516, 125, 117, 504 is 1

Given Input Data is 516, 125, 117, 504

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(516, 125) = 64500

GCD(516, 125) = ( 516 x 125 ) / 64500

GCD(516, 125) = 64500 / 64500

GCD(516, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 516, 125, 117, 504 is 1

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1. What is the GCD of 516, 125, 117, 504?

GCD of 516, 125, 117, 504 is 1

2. Where do I get the detailed procedure to find GCD of 516, 125, 117, 504?

You can find a detailed procedure to find GCD of 516, 125, 117, 504 on our page.

3. How to find GCD of 516, 125, 117, 504 on a calculator?

You can find the GCD of 516, 125, 117, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.