GCD of 312, 797, 41, 422 Calculator

Given Input numbers are 312, 797, 41, 422

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 312, 797, 41, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 797, 41, 422 is 1.

Therefore, GCD of numbers 312, 797, 41, 422 is 1

Given Input Data is 312, 797, 41, 422

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 797 is 797

Prime Factorization of 41 is 41

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(312, 797) = 248664

GCD(312, 797) = ( 312 x 797 ) / 248664

GCD(312, 797) = 248664 / 248664

GCD(312, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 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 312, 797, 41, 422 is 1

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• GCD of 689, 508, 77, 509
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1. What is the GCD of 312, 797, 41, 422?

GCD of 312, 797, 41, 422 is 1

2. Where do I get the detailed procedure to find GCD of 312, 797, 41, 422?

You can find a detailed procedure to find GCD of 312, 797, 41, 422 on our page.

3. How to find GCD of 312, 797, 41, 422 on a calculator?

You can find the GCD of 312, 797, 41, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.