GCD of 531, 423, 21, 408 Calculator

Given Input numbers are 531, 423, 21, 408

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 21

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

1, 3, 7, 21

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 531, 423, 21, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 423, 21, 408 is 3.

Therefore, GCD of numbers 531, 423, 21, 408 is 3

Given Input Data is 531, 423, 21, 408

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(531, 423) = 24957

GCD(531, 423) = ( 531 x 423 ) / 24957

GCD(531, 423) = 224613 / 24957

GCD(531, 423) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 21

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

LCM(9, 21) = 63

GCD(9, 21) = ( 9 x 21 ) / 63

GCD(9, 21) = 189 / 63

GCD(9, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 408

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

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

GCD(3, 408) = 1224 / 408

GCD(3, 408) = 3

GCD of 531, 423, 21, 408 is 3

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1. What is the GCD of 531, 423, 21, 408?

GCD of 531, 423, 21, 408 is 3

2. Where do I get the detailed procedure to find GCD of 531, 423, 21, 408?

You can find a detailed procedure to find GCD of 531, 423, 21, 408 on our page.

3. How to find GCD of 531, 423, 21, 408 on a calculator?

You can find the GCD of 531, 423, 21, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.