GCD of 422, 752, 113, 460 Calculator

Given Input numbers are 422, 752, 113, 460

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 422, 752, 113, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 752, 113, 460 is 1.

Therefore, GCD of numbers 422, 752, 113, 460 is 1

Given Input Data is 422, 752, 113, 460

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 113 is 113

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 752) = 158672

GCD(422, 752) = ( 422 x 752 ) / 158672

GCD(422, 752) = 317344 / 158672

GCD(422, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 422, 752, 113, 460 is 1

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1. What is the GCD of 422, 752, 113, 460?

GCD of 422, 752, 113, 460 is 1

2. Where do I get the detailed procedure to find GCD of 422, 752, 113, 460?

You can find a detailed procedure to find GCD of 422, 752, 113, 460 on our page.

3. How to find GCD of 422, 752, 113, 460 on a calculator?

You can find the GCD of 422, 752, 113, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.