GCD of 107, 391, 22, 598 Calculator

Given Input numbers are 107, 391, 22, 598

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 107, 391, 22, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 391, 22, 598 is 1.

Therefore, GCD of numbers 107, 391, 22, 598 is 1

Given Input Data is 107, 391, 22, 598

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

Prime Factorization of 107 is 107

Prime Factorization of 391 is 17 x 23

Prime Factorization of 22 is 2 x 11

Prime Factorization of 598 is 2 x 13 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(107, 391) = 41837

GCD(107, 391) = ( 107 x 391 ) / 41837

GCD(107, 391) = 41837 / 41837

GCD(107, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 107, 391, 22, 598 is 1

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1. What is the GCD of 107, 391, 22, 598?

GCD of 107, 391, 22, 598 is 1

2. Where do I get the detailed procedure to find GCD of 107, 391, 22, 598?

You can find a detailed procedure to find GCD of 107, 391, 22, 598 on our page.

3. How to find GCD of 107, 391, 22, 598 on a calculator?

You can find the GCD of 107, 391, 22, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.