GCD of 249, 272, 588, 792 Calculator

Given Input numbers are 249, 272, 588, 792

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

Greatest Common Divisior

We found the divisors of 249, 272, 588, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 272, 588, 792 is 1.

Therefore, GCD of numbers 249, 272, 588, 792 is 1

Given Input Data is 249, 272, 588, 792

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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

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(249, 272) = 67728

GCD(249, 272) = ( 249 x 272 ) / 67728

GCD(249, 272) = 67728 / 67728

GCD(249, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 249, 272, 588, 792 is 1

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1. What is the GCD of 249, 272, 588, 792?

GCD of 249, 272, 588, 792 is 1

2. Where do I get the detailed procedure to find GCD of 249, 272, 588, 792?

You can find a detailed procedure to find GCD of 249, 272, 588, 792 on our page.

3. How to find GCD of 249, 272, 588, 792 on a calculator?

You can find the GCD of 249, 272, 588, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.