GCD of 279, 264, 792, 760 Calculator

Given Input numbers are 279, 264, 792, 760

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 279, 264, 792, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 264, 792, 760 is 1.

Therefore, GCD of numbers 279, 264, 792, 760 is 1

Given Input Data is 279, 264, 792, 760

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(279, 264) = 24552

GCD(279, 264) = ( 279 x 264 ) / 24552

GCD(279, 264) = 73656 / 24552

GCD(279, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 792

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

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

GCD(3, 792) = 2376 / 792

GCD(3, 792) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 760

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

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

GCD(3, 760) = 2280 / 2280

GCD(3, 760) = 1

GCD of 279, 264, 792, 760 is 1

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1. What is the GCD of 279, 264, 792, 760?

GCD of 279, 264, 792, 760 is 1

2. Where do I get the detailed procedure to find GCD of 279, 264, 792, 760?

You can find a detailed procedure to find GCD of 279, 264, 792, 760 on our page.

3. How to find GCD of 279, 264, 792, 760 on a calculator?

You can find the GCD of 279, 264, 792, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.