GCD of 501, 872, 982, 656 Calculator

Given Input numbers are 501, 872, 982, 656

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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 501, 872, 982, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 872, 982, 656 is 1.

Therefore, GCD of numbers 501, 872, 982, 656 is 1

Given Input Data is 501, 872, 982, 656

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 982 is 2 x 491

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(501, 872) = 436872

GCD(501, 872) = ( 501 x 872 ) / 436872

GCD(501, 872) = 436872 / 436872

GCD(501, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 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 501, 872, 982, 656 is 1

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1. What is the GCD of 501, 872, 982, 656?

GCD of 501, 872, 982, 656 is 1

2. Where do I get the detailed procedure to find GCD of 501, 872, 982, 656?

You can find a detailed procedure to find GCD of 501, 872, 982, 656 on our page.

3. How to find GCD of 501, 872, 982, 656 on a calculator?

You can find the GCD of 501, 872, 982, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.