GCD of 456, 791, 31, 914 Calculator

Given Input numbers are 456, 791, 31, 914

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 31

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

1, 31

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 456, 791, 31, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 791, 31, 914 is 1.

Therefore, GCD of numbers 456, 791, 31, 914 is 1

Given Input Data is 456, 791, 31, 914

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 791 is 7 x 113

Prime Factorization of 31 is 31

Prime Factorization of 914 is 2 x 457

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(456, 791) = 360696

GCD(456, 791) = ( 456 x 791 ) / 360696

GCD(456, 791) = 360696 / 360696

GCD(456, 791) = 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 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 456, 791, 31, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 605, 89, 133
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• GCD of 529, 378, 56, 979

1. What is the GCD of 456, 791, 31, 914?

GCD of 456, 791, 31, 914 is 1

2. Where do I get the detailed procedure to find GCD of 456, 791, 31, 914?

You can find a detailed procedure to find GCD of 456, 791, 31, 914 on our page.

3. How to find GCD of 456, 791, 31, 914 on a calculator?

You can find the GCD of 456, 791, 31, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.