GCD of 756, 872, 331, 213 Calculator

Given Input numbers are 756, 872, 331, 213

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 756, 872, 331, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 872, 331, 213 is 1.

Therefore, GCD of numbers 756, 872, 331, 213 is 1

Given Input Data is 756, 872, 331, 213

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 331 is 331

Prime Factorization of 213 is 3 x 71

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(756, 872) = 164808

GCD(756, 872) = ( 756 x 872 ) / 164808

GCD(756, 872) = 659232 / 164808

GCD(756, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 331

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

LCM(4, 331) = 1324

GCD(4, 331) = ( 4 x 331 ) / 1324

GCD(4, 331) = 1324 / 1324

GCD(4, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 756, 872, 331, 213 is 1

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1. What is the GCD of 756, 872, 331, 213?

GCD of 756, 872, 331, 213 is 1

2. Where do I get the detailed procedure to find GCD of 756, 872, 331, 213?

You can find a detailed procedure to find GCD of 756, 872, 331, 213 on our page.

3. How to find GCD of 756, 872, 331, 213 on a calculator?

You can find the GCD of 756, 872, 331, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.