GCD of 872, 652, 876 Calculator

Given Input numbers are 872, 652, 876

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 872, 652, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 652, 876 is 4.

Therefore, GCD of numbers 872, 652, 876 is 4

Given Input Data is 872, 652, 876

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 652 is 2 x 2 x 163

Prime Factorization of 876 is 2 x 2 x 3 x 73

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, 652) = 142136

GCD(872, 652) = ( 872 x 652 ) / 142136

GCD(872, 652) = 568544 / 142136

GCD(872, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 876

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

LCM(4, 876) = 876

GCD(4, 876) = ( 4 x 876 ) / 876

GCD(4, 876) = 3504 / 876

GCD(4, 876) = 4

GCD of 872, 652, 876 is 4

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1. What is the GCD of 872, 652, 876?

GCD of 872, 652, 876 is 4

2. Where do I get the detailed procedure to find GCD of 872, 652, 876?

You can find a detailed procedure to find GCD of 872, 652, 876 on our page.

3. How to find GCD of 872, 652, 876 on a calculator?

You can find the GCD of 872, 652, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.