GCD of 222, 462, 21, 531 Calculator

Given Input numbers are 222, 462, 21, 531

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 21

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

1, 3, 7, 21

Divisors of 531

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

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 222, 462, 21, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 462, 21, 531 is 3.

Therefore, GCD of numbers 222, 462, 21, 531 is 3

Given Input Data is 222, 462, 21, 531

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 531 is 3 x 3 x 59

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(222, 462) = 17094

GCD(222, 462) = ( 222 x 462 ) / 17094

GCD(222, 462) = 102564 / 17094

GCD(222, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 21

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

LCM(6, 21) = 42

GCD(6, 21) = ( 6 x 21 ) / 42

GCD(6, 21) = 126 / 42

GCD(6, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 531

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

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

GCD(3, 531) = 1593 / 531

GCD(3, 531) = 3

GCD of 222, 462, 21, 531 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 233, 97, 436
• GCD of 525, 572, 53, 225
• GCD of 543, 473, 70, 251
• GCD of 452, 561, 23, 877
• GCD of 472, 925, 20, 348

1. What is the GCD of 222, 462, 21, 531?

GCD of 222, 462, 21, 531 is 3

2. Where do I get the detailed procedure to find GCD of 222, 462, 21, 531?

You can find a detailed procedure to find GCD of 222, 462, 21, 531 on our page.

3. How to find GCD of 222, 462, 21, 531 on a calculator?

You can find the GCD of 222, 462, 21, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.