GCD of 422, 760, 291, 509 Calculator

Given Input numbers are 422, 760, 291, 509

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

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

Divisors of 291

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

1, 3, 97, 291

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 422, 760, 291, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 760, 291, 509 is 1.

Therefore, GCD of numbers 422, 760, 291, 509 is 1

Given Input Data is 422, 760, 291, 509

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

Prime Factorization of 422 is 2 x 211

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 509 is 509

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(422, 760) = 160360

GCD(422, 760) = ( 422 x 760 ) / 160360

GCD(422, 760) = 320720 / 160360

GCD(422, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 422, 760, 291, 509 is 1

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1. What is the GCD of 422, 760, 291, 509?

GCD of 422, 760, 291, 509 is 1

2. Where do I get the detailed procedure to find GCD of 422, 760, 291, 509?

You can find a detailed procedure to find GCD of 422, 760, 291, 509 on our page.

3. How to find GCD of 422, 760, 291, 509 on a calculator?

You can find the GCD of 422, 760, 291, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.