GCD of 364, 312, 31, 812 Calculator

Given Input numbers are 364, 312, 31, 812

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

Divisors of 31

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

1, 31

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 364, 312, 31, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 312, 31, 812 is 1.

Therefore, GCD of numbers 364, 312, 31, 812 is 1

Given Input Data is 364, 312, 31, 812

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Prime Factorization of 31 is 31

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(364, 312) = 2184

GCD(364, 312) = ( 364 x 312 ) / 2184

GCD(364, 312) = 113568 / 2184

GCD(364, 312) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 31

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

LCM(52, 31) = 1612

GCD(52, 31) = ( 52 x 31 ) / 1612

GCD(52, 31) = 1612 / 1612

GCD(52, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 364, 312, 31, 812 is 1

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• GCD of 792, 570, 66, 124
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1. What is the GCD of 364, 312, 31, 812?

GCD of 364, 312, 31, 812 is 1

2. Where do I get the detailed procedure to find GCD of 364, 312, 31, 812?

You can find a detailed procedure to find GCD of 364, 312, 31, 812 on our page.

3. How to find GCD of 364, 312, 31, 812 on a calculator?

You can find the GCD of 364, 312, 31, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.