GCD of 660, 591, 21, 324 Calculator

Given Input numbers are 660, 591, 21, 324

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 660, 591, 21, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 591, 21, 324 is 3.

Therefore, GCD of numbers 660, 591, 21, 324 is 3

Given Input Data is 660, 591, 21, 324

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 591 is 3 x 197

Prime Factorization of 21 is 3 x 7

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(660, 591) = 130020

GCD(660, 591) = ( 660 x 591 ) / 130020

GCD(660, 591) = 390060 / 130020

GCD(660, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 324

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

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

GCD(3, 324) = 972 / 324

GCD(3, 324) = 3

GCD of 660, 591, 21, 324 is 3

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• GCD of 199, 301, 91, 778
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• GCD of 424, 128, 54, 823

1. What is the GCD of 660, 591, 21, 324?

GCD of 660, 591, 21, 324 is 3

2. Where do I get the detailed procedure to find GCD of 660, 591, 21, 324?

You can find a detailed procedure to find GCD of 660, 591, 21, 324 on our page.

3. How to find GCD of 660, 591, 21, 324 on a calculator?

You can find the GCD of 660, 591, 21, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.