GCD of 798, 891, 916, 572 Calculator

Given Input numbers are 798, 891, 916, 572

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 798, 891, 916, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 891, 916, 572 is 1.

Therefore, GCD of numbers 798, 891, 916, 572 is 1

Given Input Data is 798, 891, 916, 572

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(798, 891) = 237006

GCD(798, 891) = ( 798 x 891 ) / 237006

GCD(798, 891) = 711018 / 237006

GCD(798, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 916

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

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

GCD(3, 916) = 2748 / 2748

GCD(3, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 798, 891, 916, 572 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 866, 307, 672
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1. What is the GCD of 798, 891, 916, 572?

GCD of 798, 891, 916, 572 is 1

2. Where do I get the detailed procedure to find GCD of 798, 891, 916, 572?

You can find a detailed procedure to find GCD of 798, 891, 916, 572 on our page.

3. How to find GCD of 798, 891, 916, 572 on a calculator?

You can find the GCD of 798, 891, 916, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.