GCD of 132, 885, 912, 906 Calculator

Given Input numbers are 132, 885, 912, 906

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

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

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 132, 885, 912, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 885, 912, 906 is 3.

Therefore, GCD of numbers 132, 885, 912, 906 is 3

Given Input Data is 132, 885, 912, 906

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

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

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 906 is 2 x 3 x 151

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(132, 885) = 38940

GCD(132, 885) = ( 132 x 885 ) / 38940

GCD(132, 885) = 116820 / 38940

GCD(132, 885) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 912

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

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

GCD(3, 912) = 2736 / 912

GCD(3, 912) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 906

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

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

GCD(3, 906) = 2718 / 906

GCD(3, 906) = 3

GCD of 132, 885, 912, 906 is 3

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1. What is the GCD of 132, 885, 912, 906?

GCD of 132, 885, 912, 906 is 3

2. Where do I get the detailed procedure to find GCD of 132, 885, 912, 906?

You can find a detailed procedure to find GCD of 132, 885, 912, 906 on our page.

3. How to find GCD of 132, 885, 912, 906 on a calculator?

You can find the GCD of 132, 885, 912, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.