GCD of 549, 738, 636 Calculator

Given Input numbers are 549, 738, 636

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

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 549, 738, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 738, 636 is 3.

Therefore, GCD of numbers 549, 738, 636 is 3

Given Input Data is 549, 738, 636

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(549, 738) = 45018

GCD(549, 738) = ( 549 x 738 ) / 45018

GCD(549, 738) = 405162 / 45018

GCD(549, 738) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 636

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

LCM(9, 636) = 1908

GCD(9, 636) = ( 9 x 636 ) / 1908

GCD(9, 636) = 5724 / 1908

GCD(9, 636) = 3

GCD of 549, 738, 636 is 3

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1. What is the GCD of 549, 738, 636?

GCD of 549, 738, 636 is 3

2. Where do I get the detailed procedure to find GCD of 549, 738, 636?

You can find a detailed procedure to find GCD of 549, 738, 636 on our page.

3. How to find GCD of 549, 738, 636 on a calculator?

You can find the GCD of 549, 738, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.