GCD of 378, 291, 20, 872 Calculator

Given Input numbers are 378, 291, 20, 872

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 872

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

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

Greatest Common Divisior

We found the divisors of 378, 291, 20, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 291, 20, 872 is 1.

Therefore, GCD of numbers 378, 291, 20, 872 is 1

Given Input Data is 378, 291, 20, 872

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 291 is 3 x 97

Prime Factorization of 20 is 2 x 2 x 5

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

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(378, 291) = 36666

GCD(378, 291) = ( 378 x 291 ) / 36666

GCD(378, 291) = 109998 / 36666

GCD(378, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 378, 291, 20, 872 is 1

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• GCD of 324, 265, 49, 497
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1. What is the GCD of 378, 291, 20, 872?

GCD of 378, 291, 20, 872 is 1

2. Where do I get the detailed procedure to find GCD of 378, 291, 20, 872?

You can find a detailed procedure to find GCD of 378, 291, 20, 872 on our page.

3. How to find GCD of 378, 291, 20, 872 on a calculator?

You can find the GCD of 378, 291, 20, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.