GCD of 931, 416, 13, 157 Calculator

Given Input numbers are 931, 416, 13, 157

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

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 157

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

1, 157

Greatest Common Divisior

We found the divisors of 931, 416, 13, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 416, 13, 157 is 1.

Therefore, GCD of numbers 931, 416, 13, 157 is 1

Given Input Data is 931, 416, 13, 157

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

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 13 is 13

Prime Factorization of 157 is 157

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(931, 416) = 387296

GCD(931, 416) = ( 931 x 416 ) / 387296

GCD(931, 416) = 387296 / 387296

GCD(931, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 931, 416, 13, 157 is 1

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1. What is the GCD of 931, 416, 13, 157?

GCD of 931, 416, 13, 157 is 1

2. Where do I get the detailed procedure to find GCD of 931, 416, 13, 157?

You can find a detailed procedure to find GCD of 931, 416, 13, 157 on our page.

3. How to find GCD of 931, 416, 13, 157 on a calculator?

You can find the GCD of 931, 416, 13, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.