GCD of 142, 422, 991, 115 Calculator

Given Input numbers are 142, 422, 991, 115

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 422

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

1, 2, 211, 422

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 142, 422, 991, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 422, 991, 115 is 1.

Therefore, GCD of numbers 142, 422, 991, 115 is 1

Given Input Data is 142, 422, 991, 115

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 422 is 2 x 211

Prime Factorization of 991 is 991

Prime Factorization of 115 is 5 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(142, 422) = 29962

GCD(142, 422) = ( 142 x 422 ) / 29962

GCD(142, 422) = 59924 / 29962

GCD(142, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 142, 422, 991, 115 is 1

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1. What is the GCD of 142, 422, 991, 115?

GCD of 142, 422, 991, 115 is 1

2. Where do I get the detailed procedure to find GCD of 142, 422, 991, 115?

You can find a detailed procedure to find GCD of 142, 422, 991, 115 on our page.

3. How to find GCD of 142, 422, 991, 115 on a calculator?

You can find the GCD of 142, 422, 991, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.