GCD of 57, 579, 981, 798 Calculator

Given Input numbers are 57, 579, 981, 798

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

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

Greatest Common Divisior

We found the divisors of 57, 579, 981, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 579, 981, 798 is 3.

Therefore, GCD of numbers 57, 579, 981, 798 is 3

Given Input Data is 57, 579, 981, 798

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 579 is 3 x 193

Prime Factorization of 981 is 3 x 3 x 109

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(57, 579) = 11001

GCD(57, 579) = ( 57 x 579 ) / 11001

GCD(57, 579) = 33003 / 11001

GCD(57, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 981

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

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

GCD(3, 981) = 2943 / 981

GCD(3, 981) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 798

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

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

GCD(3, 798) = 2394 / 798

GCD(3, 798) = 3

GCD of 57, 579, 981, 798 is 3

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• GCD of 23, 551, 750, 945

1. What is the GCD of 57, 579, 981, 798?

GCD of 57, 579, 981, 798 is 3

2. Where do I get the detailed procedure to find GCD of 57, 579, 981, 798?

You can find a detailed procedure to find GCD of 57, 579, 981, 798 on our page.

3. How to find GCD of 57, 579, 981, 798 on a calculator?

You can find the GCD of 57, 579, 981, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.