GCD of 369, 726, 645 Calculator

Given Input numbers are 369, 726, 645

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 645

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

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

Greatest Common Divisior

We found the divisors of 369, 726, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 726, 645 is 3.

Therefore, GCD of numbers 369, 726, 645 is 3

Given Input Data is 369, 726, 645

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 645 is 3 x 5 x 43

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(369, 726) = 89298

GCD(369, 726) = ( 369 x 726 ) / 89298

GCD(369, 726) = 267894 / 89298

GCD(369, 726) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 645

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

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

GCD(3, 645) = 1935 / 645

GCD(3, 645) = 3

GCD of 369, 726, 645 is 3

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1. What is the GCD of 369, 726, 645?

GCD of 369, 726, 645 is 3

2. Where do I get the detailed procedure to find GCD of 369, 726, 645?

You can find a detailed procedure to find GCD of 369, 726, 645 on our page.

3. How to find GCD of 369, 726, 645 on a calculator?

You can find the GCD of 369, 726, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.