GCD of 832, 759, 31, 113 Calculator

Given Input numbers are 832, 759, 31, 113

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 113

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

1, 113

Greatest Common Divisior

We found the divisors of 832, 759, 31, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 759, 31, 113 is 1.

Therefore, GCD of numbers 832, 759, 31, 113 is 1

Given Input Data is 832, 759, 31, 113

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 31 is 31

Prime Factorization of 113 is 113

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(832, 759) = 631488

GCD(832, 759) = ( 832 x 759 ) / 631488

GCD(832, 759) = 631488 / 631488

GCD(832, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 832, 759, 31, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 790, 61, 604
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• GCD of 266, 668, 29, 376

1. What is the GCD of 832, 759, 31, 113?

GCD of 832, 759, 31, 113 is 1

2. Where do I get the detailed procedure to find GCD of 832, 759, 31, 113?

You can find a detailed procedure to find GCD of 832, 759, 31, 113 on our page.

3. How to find GCD of 832, 759, 31, 113 on a calculator?

You can find the GCD of 832, 759, 31, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.