GCD of 792, 278, 37, 297 Calculator

Given Input numbers are 792, 278, 37, 297

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 792, 278, 37, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 278, 37, 297 is 1.

Therefore, GCD of numbers 792, 278, 37, 297 is 1

Given Input Data is 792, 278, 37, 297

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 278 is 2 x 139

Prime Factorization of 37 is 37

Prime Factorization of 297 is 3 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(792, 278) = 110088

GCD(792, 278) = ( 792 x 278 ) / 110088

GCD(792, 278) = 220176 / 110088

GCD(792, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 792, 278, 37, 297 is 1

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1. What is the GCD of 792, 278, 37, 297?

GCD of 792, 278, 37, 297 is 1

2. Where do I get the detailed procedure to find GCD of 792, 278, 37, 297?

You can find a detailed procedure to find GCD of 792, 278, 37, 297 on our page.

3. How to find GCD of 792, 278, 37, 297 on a calculator?

You can find the GCD of 792, 278, 37, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.