GCD of 875, 524, 164, 656 Calculator

Given Input numbers are 875, 524, 164, 656

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

Divisors of 875

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

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

Divisors of 524

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

1, 2, 4, 131, 262, 524

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 875, 524, 164, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 524, 164, 656 is 1.

Therefore, GCD of numbers 875, 524, 164, 656 is 1

Given Input Data is 875, 524, 164, 656

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(875, 524) = 458500

GCD(875, 524) = ( 875 x 524 ) / 458500

GCD(875, 524) = 458500 / 458500

GCD(875, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 875, 524, 164, 656 is 1

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1. What is the GCD of 875, 524, 164, 656?

GCD of 875, 524, 164, 656 is 1

2. Where do I get the detailed procedure to find GCD of 875, 524, 164, 656?

You can find a detailed procedure to find GCD of 875, 524, 164, 656 on our page.

3. How to find GCD of 875, 524, 164, 656 on a calculator?

You can find the GCD of 875, 524, 164, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.