GCD of 792, 916, 291, 258 Calculator

Given Input numbers are 792, 916, 291, 258

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 792, 916, 291, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 916, 291, 258 is 1.

Therefore, GCD of numbers 792, 916, 291, 258 is 1

Given Input Data is 792, 916, 291, 258

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 916 is 2 x 2 x 229

Prime Factorization of 291 is 3 x 97

Prime Factorization of 258 is 2 x 3 x 43

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, 916) = 181368

GCD(792, 916) = ( 792 x 916 ) / 181368

GCD(792, 916) = 725472 / 181368

GCD(792, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 291

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

LCM(4, 291) = 1164

GCD(4, 291) = ( 4 x 291 ) / 1164

GCD(4, 291) = 1164 / 1164

GCD(4, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 792, 916, 291, 258 is 1

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1. What is the GCD of 792, 916, 291, 258?

GCD of 792, 916, 291, 258 is 1

2. Where do I get the detailed procedure to find GCD of 792, 916, 291, 258?

You can find a detailed procedure to find GCD of 792, 916, 291, 258 on our page.

3. How to find GCD of 792, 916, 291, 258 on a calculator?

You can find the GCD of 792, 916, 291, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.