GCD of 252, 645, 567 Calculator

Given Input numbers are 252, 645, 567

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 252, 645, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 645, 567 is 3.

Therefore, GCD of numbers 252, 645, 567 is 3

Given Input Data is 252, 645, 567

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 645 is 3 x 5 x 43

Prime Factorization of 567 is 3 x 3 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(252, 645) = 54180

GCD(252, 645) = ( 252 x 645 ) / 54180

GCD(252, 645) = 162540 / 54180

GCD(252, 645) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 567

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

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

GCD(3, 567) = 1701 / 567

GCD(3, 567) = 3

GCD of 252, 645, 567 is 3

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1. What is the GCD of 252, 645, 567?

GCD of 252, 645, 567 is 3

2. Where do I get the detailed procedure to find GCD of 252, 645, 567?

You can find a detailed procedure to find GCD of 252, 645, 567 on our page.

3. How to find GCD of 252, 645, 567 on a calculator?

You can find the GCD of 252, 645, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.