GCD of 252, 666, 213, 249 Calculator

Given Input numbers are 252, 666, 213, 249

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 252, 666, 213, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 666, 213, 249 is 3.

Therefore, GCD of numbers 252, 666, 213, 249 is 3

Given Input Data is 252, 666, 213, 249

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 213 is 3 x 71

Prime Factorization of 249 is 3 x 83

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(252, 666) = 9324

GCD(252, 666) = ( 252 x 666 ) / 9324

GCD(252, 666) = 167832 / 9324

GCD(252, 666) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 213

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

LCM(18, 213) = 1278

GCD(18, 213) = ( 18 x 213 ) / 1278

GCD(18, 213) = 3834 / 1278

GCD(18, 213) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 249

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

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

GCD(3, 249) = 747 / 249

GCD(3, 249) = 3

GCD of 252, 666, 213, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 612, 808, 208
• GCD of 746, 415, 746, 773
• GCD of 398, 137, 893, 866
• GCD of 130, 170, 295, 989
• GCD of 574, 474, 735, 933

1. What is the GCD of 252, 666, 213, 249?

GCD of 252, 666, 213, 249 is 3

2. Where do I get the detailed procedure to find GCD of 252, 666, 213, 249?

You can find a detailed procedure to find GCD of 252, 666, 213, 249 on our page.

3. How to find GCD of 252, 666, 213, 249 on a calculator?

You can find the GCD of 252, 666, 213, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.