GCD of 642, 504, 115, 875 Calculator

Given Input numbers are 642, 504, 115, 875

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 642, 504, 115, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 504, 115, 875 is 1.

Therefore, GCD of numbers 642, 504, 115, 875 is 1

Given Input Data is 642, 504, 115, 875

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

Prime Factorization of 642 is 2 x 3 x 107

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 875 is 5 x 5 x 5 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(642, 504) = 53928

GCD(642, 504) = ( 642 x 504 ) / 53928

GCD(642, 504) = 323568 / 53928

GCD(642, 504) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 115

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

LCM(6, 115) = 690

GCD(6, 115) = ( 6 x 115 ) / 690

GCD(6, 115) = 690 / 690

GCD(6, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 642, 504, 115, 875 is 1

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1. What is the GCD of 642, 504, 115, 875?

GCD of 642, 504, 115, 875 is 1

2. Where do I get the detailed procedure to find GCD of 642, 504, 115, 875?

You can find a detailed procedure to find GCD of 642, 504, 115, 875 on our page.

3. How to find GCD of 642, 504, 115, 875 on a calculator?

You can find the GCD of 642, 504, 115, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.