GCD of 132, 604, 914 Calculator

Given Input numbers are 132, 604, 914

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 132, 604, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 604, 914 is 2.

Therefore, GCD of numbers 132, 604, 914 is 2

Given Input Data is 132, 604, 914

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 604 is 2 x 2 x 151

Prime Factorization of 914 is 2 x 457

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 604) = 19932

GCD(132, 604) = ( 132 x 604 ) / 19932

GCD(132, 604) = 79728 / 19932

GCD(132, 604) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 914

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

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

GCD(4, 914) = 3656 / 1828

GCD(4, 914) = 2

GCD of 132, 604, 914 is 2

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1. What is the GCD of 132, 604, 914?

GCD of 132, 604, 914 is 2

2. Where do I get the detailed procedure to find GCD of 132, 604, 914?

You can find a detailed procedure to find GCD of 132, 604, 914 on our page.

3. How to find GCD of 132, 604, 914 on a calculator?

You can find the GCD of 132, 604, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.