GCD of 380, 902, 422, 921 Calculator

Given Input numbers are 380, 902, 422, 921

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 380, 902, 422, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 902, 422, 921 is 1.

Therefore, GCD of numbers 380, 902, 422, 921 is 1

Given Input Data is 380, 902, 422, 921

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 422 is 2 x 211

Prime Factorization of 921 is 3 x 307

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(380, 902) = 171380

GCD(380, 902) = ( 380 x 902 ) / 171380

GCD(380, 902) = 342760 / 171380

GCD(380, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

GCD of 380, 902, 422, 921 is 1

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1. What is the GCD of 380, 902, 422, 921?

GCD of 380, 902, 422, 921 is 1

2. Where do I get the detailed procedure to find GCD of 380, 902, 422, 921?

You can find a detailed procedure to find GCD of 380, 902, 422, 921 on our page.

3. How to find GCD of 380, 902, 422, 921 on a calculator?

You can find the GCD of 380, 902, 422, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.