GCD of 872, 988, 52, 664 Calculator

Given Input numbers are 872, 988, 52, 664

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

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 872, 988, 52, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 988, 52, 664 is 4.

Therefore, GCD of numbers 872, 988, 52, 664 is 4

Given Input Data is 872, 988, 52, 664

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

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 664 is 2 x 2 x 2 x 83

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(872, 988) = 215384

GCD(872, 988) = ( 872 x 988 ) / 215384

GCD(872, 988) = 861536 / 215384

GCD(872, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 664

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

LCM(4, 664) = 664

GCD(4, 664) = ( 4 x 664 ) / 664

GCD(4, 664) = 2656 / 664

GCD(4, 664) = 4

GCD of 872, 988, 52, 664 is 4

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1. What is the GCD of 872, 988, 52, 664?

GCD of 872, 988, 52, 664 is 4

2. Where do I get the detailed procedure to find GCD of 872, 988, 52, 664?

You can find a detailed procedure to find GCD of 872, 988, 52, 664 on our page.

3. How to find GCD of 872, 988, 52, 664 on a calculator?

You can find the GCD of 872, 988, 52, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.