GCD of 427, 500, 744, 422 Calculator

Given Input numbers are 427, 500, 744, 422

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 422

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

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 427, 500, 744, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 500, 744, 422 is 1.

Therefore, GCD of numbers 427, 500, 744, 422 is 1

Given Input Data is 427, 500, 744, 422

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 422 is 2 x 211

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(427, 500) = 213500

GCD(427, 500) = ( 427 x 500 ) / 213500

GCD(427, 500) = 213500 / 213500

GCD(427, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 427, 500, 744, 422 is 1

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1. What is the GCD of 427, 500, 744, 422?

GCD of 427, 500, 744, 422 is 1

2. Where do I get the detailed procedure to find GCD of 427, 500, 744, 422?

You can find a detailed procedure to find GCD of 427, 500, 744, 422 on our page.

3. How to find GCD of 427, 500, 744, 422 on a calculator?

You can find the GCD of 427, 500, 744, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.