GCD of 157, 113, 312 Calculator

Given Input numbers are 157, 113, 312

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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

Greatest Common Divisior

We found the divisors of 157, 113, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 113, 312 is 1.

Therefore, GCD of numbers 157, 113, 312 is 1

Given Input Data is 157, 113, 312

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

Prime Factorization of 157 is 157

Prime Factorization of 113 is 113

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

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(157, 113) = 17741

GCD(157, 113) = ( 157 x 113 ) / 17741

GCD(157, 113) = 17741 / 17741

GCD(157, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 157, 113, 312 is 1

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1. What is the GCD of 157, 113, 312?

GCD of 157, 113, 312 is 1

2. Where do I get the detailed procedure to find GCD of 157, 113, 312?

You can find a detailed procedure to find GCD of 157, 113, 312 on our page.

3. How to find GCD of 157, 113, 312 on a calculator?

You can find the GCD of 157, 113, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.