GCD of 126, 645, 909 Calculator

Given Input numbers are 126, 645, 909

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 126, 645, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 645, 909 is 3.

Therefore, GCD of numbers 126, 645, 909 is 3

Given Input Data is 126, 645, 909

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 909 is 3 x 3 x 101

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(126, 645) = 27090

GCD(126, 645) = ( 126 x 645 ) / 27090

GCD(126, 645) = 81270 / 27090

GCD(126, 645) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 909

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

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

GCD(3, 909) = 2727 / 909

GCD(3, 909) = 3

GCD of 126, 645, 909 is 3

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1. What is the GCD of 126, 645, 909?

GCD of 126, 645, 909 is 3

2. Where do I get the detailed procedure to find GCD of 126, 645, 909?

You can find a detailed procedure to find GCD of 126, 645, 909 on our page.

3. How to find GCD of 126, 645, 909 on a calculator?

You can find the GCD of 126, 645, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.