GCD of 57, 486, 981, 336 Calculator

Given Input numbers are 57, 486, 981, 336

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 57, 486, 981, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 486, 981, 336 is 3.

Therefore, GCD of numbers 57, 486, 981, 336 is 3

Given Input Data is 57, 486, 981, 336

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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, 486) = 9234

GCD(57, 486) = ( 57 x 486 ) / 9234

GCD(57, 486) = 27702 / 9234

GCD(57, 486) = 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 336

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

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

GCD(3, 336) = 1008 / 336

GCD(3, 336) = 3

GCD of 57, 486, 981, 336 is 3

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1. What is the GCD of 57, 486, 981, 336?

GCD of 57, 486, 981, 336 is 3

2. Where do I get the detailed procedure to find GCD of 57, 486, 981, 336?

You can find a detailed procedure to find GCD of 57, 486, 981, 336 on our page.

3. How to find GCD of 57, 486, 981, 336 on a calculator?

You can find the GCD of 57, 486, 981, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.