GCD of 792, 220, 31, 468 Calculator

Given Input numbers are 792, 220, 31, 468

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 31

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

1, 31

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 792, 220, 31, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 220, 31, 468 is 1.

Therefore, GCD of numbers 792, 220, 31, 468 is 1

Given Input Data is 792, 220, 31, 468

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 31 is 31

Prime Factorization of 468 is 2 x 2 x 3 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(792, 220) = 3960

GCD(792, 220) = ( 792 x 220 ) / 3960

GCD(792, 220) = 174240 / 3960

GCD(792, 220) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 31

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

LCM(44, 31) = 1364

GCD(44, 31) = ( 44 x 31 ) / 1364

GCD(44, 31) = 1364 / 1364

GCD(44, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 792, 220, 31, 468 is 1

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1. What is the GCD of 792, 220, 31, 468?

GCD of 792, 220, 31, 468 is 1

2. Where do I get the detailed procedure to find GCD of 792, 220, 31, 468?

You can find a detailed procedure to find GCD of 792, 220, 31, 468 on our page.

3. How to find GCD of 792, 220, 31, 468 on a calculator?

You can find the GCD of 792, 220, 31, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.