GCD of 792, 960, 31, 453 Calculator

Given Input numbers are 792, 960, 31, 453

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 31

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

1, 31

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 792, 960, 31, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 960, 31, 453 is 1.

Therefore, GCD of numbers 792, 960, 31, 453 is 1

Given Input Data is 792, 960, 31, 453

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 31 is 31

Prime Factorization of 453 is 3 x 151

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, 960) = 31680

GCD(792, 960) = ( 792 x 960 ) / 31680

GCD(792, 960) = 760320 / 31680

GCD(792, 960) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 31

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

LCM(24, 31) = 744

GCD(24, 31) = ( 24 x 31 ) / 744

GCD(24, 31) = 744 / 744

GCD(24, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 792, 960, 31, 453 is 1

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1. What is the GCD of 792, 960, 31, 453?

GCD of 792, 960, 31, 453 is 1

2. Where do I get the detailed procedure to find GCD of 792, 960, 31, 453?

You can find a detailed procedure to find GCD of 792, 960, 31, 453 on our page.

3. How to find GCD of 792, 960, 31, 453 on a calculator?

You can find the GCD of 792, 960, 31, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.