GCD of 909, 909, 921, 132 Calculator

Given Input numbers are 909, 909, 921, 132

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

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 909, 909, 921, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 909, 921, 132 is 3.

Therefore, GCD of numbers 909, 909, 921, 132 is 3

Given Input Data is 909, 909, 921, 132

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 921 is 3 x 307

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(909, 909) = 909

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

GCD(909, 909) = 826281 / 909

GCD(909, 909) = 909

Step2:

Here we consider the GCD from the above i.e. 909 as first number and the next as 921

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

LCM(909, 921) = 279063

GCD(909, 921) = ( 909 x 921 ) / 279063

GCD(909, 921) = 837189 / 279063

GCD(909, 921) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 132

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

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

GCD(3, 132) = 396 / 132

GCD(3, 132) = 3

GCD of 909, 909, 921, 132 is 3

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1. What is the GCD of 909, 909, 921, 132?

GCD of 909, 909, 921, 132 is 3

2. Where do I get the detailed procedure to find GCD of 909, 909, 921, 132?

You can find a detailed procedure to find GCD of 909, 909, 921, 132 on our page.

3. How to find GCD of 909, 909, 921, 132 on a calculator?

You can find the GCD of 909, 909, 921, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.