GCD of 759, 249, 252 Calculator

Given Input numbers are 759, 249, 252

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 249

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

1, 3, 83, 249

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

Greatest Common Divisior

We found the divisors of 759, 249, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 249, 252 is 3.

Therefore, GCD of numbers 759, 249, 252 is 3

Given Input Data is 759, 249, 252

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 249 is 3 x 83

Prime Factorization of 252 is 2 x 2 x 3 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(759, 249) = 62997

GCD(759, 249) = ( 759 x 249 ) / 62997

GCD(759, 249) = 188991 / 62997

GCD(759, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 252

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

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

GCD(3, 252) = 756 / 252

GCD(3, 252) = 3

GCD of 759, 249, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 798, 923
• GCD of 718, 712, 462
• GCD of 268, 799, 472
• GCD of 432, 462, 918
• GCD of 211, 400, 396

1. What is the GCD of 759, 249, 252?

GCD of 759, 249, 252 is 3

2. Where do I get the detailed procedure to find GCD of 759, 249, 252?

You can find a detailed procedure to find GCD of 759, 249, 252 on our page.

3. How to find GCD of 759, 249, 252 on a calculator?

You can find the GCD of 759, 249, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.