GCD of 990, 627, 422, 760 Calculator

Given Input numbers are 990, 627, 422, 760

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 422

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

1, 2, 211, 422

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 990, 627, 422, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 627, 422, 760 is 1.

Therefore, GCD of numbers 990, 627, 422, 760 is 1

Given Input Data is 990, 627, 422, 760

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 422 is 2 x 211

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(990, 627) = 18810

GCD(990, 627) = ( 990 x 627 ) / 18810

GCD(990, 627) = 620730 / 18810

GCD(990, 627) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 422

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

LCM(33, 422) = 13926

GCD(33, 422) = ( 33 x 422 ) / 13926

GCD(33, 422) = 13926 / 13926

GCD(33, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 990, 627, 422, 760 is 1

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1. What is the GCD of 990, 627, 422, 760?

GCD of 990, 627, 422, 760 is 1

2. Where do I get the detailed procedure to find GCD of 990, 627, 422, 760?

You can find a detailed procedure to find GCD of 990, 627, 422, 760 on our page.

3. How to find GCD of 990, 627, 422, 760 on a calculator?

You can find the GCD of 990, 627, 422, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.