GCD of 391, 974, 30, 122 Calculator

Given Input numbers are 391, 974, 30, 122

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

Divisors of 391

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

1, 17, 23, 391

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 391, 974, 30, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 974, 30, 122 is 1.

Therefore, GCD of numbers 391, 974, 30, 122 is 1

Given Input Data is 391, 974, 30, 122

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 974 is 2 x 487

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 122 is 2 x 61

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(391, 974) = 380834

GCD(391, 974) = ( 391 x 974 ) / 380834

GCD(391, 974) = 380834 / 380834

GCD(391, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 391, 974, 30, 122 is 1

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1. What is the GCD of 391, 974, 30, 122?

GCD of 391, 974, 30, 122 is 1

2. Where do I get the detailed procedure to find GCD of 391, 974, 30, 122?

You can find a detailed procedure to find GCD of 391, 974, 30, 122 on our page.

3. How to find GCD of 391, 974, 30, 122 on a calculator?

You can find the GCD of 391, 974, 30, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.