GCD of 122, 917, 56, 142 Calculator

Given Input numbers are 122, 917, 56, 142

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

Divisors of 122

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

1, 2, 61, 122

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 122, 917, 56, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 917, 56, 142 is 1.

Therefore, GCD of numbers 122, 917, 56, 142 is 1

Given Input Data is 122, 917, 56, 142

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 917 is 7 x 131

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 142 is 2 x 71

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(122, 917) = 111874

GCD(122, 917) = ( 122 x 917 ) / 111874

GCD(122, 917) = 111874 / 111874

GCD(122, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 122, 917, 56, 142 is 1

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1. What is the GCD of 122, 917, 56, 142?

GCD of 122, 917, 56, 142 is 1

2. Where do I get the detailed procedure to find GCD of 122, 917, 56, 142?

You can find a detailed procedure to find GCD of 122, 917, 56, 142 on our page.

3. How to find GCD of 122, 917, 56, 142 on a calculator?

You can find the GCD of 122, 917, 56, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.