GCD of 440, 880, 132 Calculator

Given Input numbers are 440, 880, 132

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 440, 880, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 880, 132 is 44.

Therefore, GCD of numbers 440, 880, 132 is 44

Given Input Data is 440, 880, 132

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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

Highest common occurrences in the given inputs are 11¹ x 2²

Multiplying them we get the GCD as 44

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(440, 880) = 880

GCD(440, 880) = ( 440 x 880 ) / 880

GCD(440, 880) = 387200 / 880

GCD(440, 880) = 440

Step2:

Here we consider the GCD from the above i.e. 440 as first number and the next as 132

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

LCM(440, 132) = 1320

GCD(440, 132) = ( 440 x 132 ) / 1320

GCD(440, 132) = 58080 / 1320

GCD(440, 132) = 44

GCD of 440, 880, 132 is 44

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1. What is the GCD of 440, 880, 132?

GCD of 440, 880, 132 is 44

2. Where do I get the detailed procedure to find GCD of 440, 880, 132?

You can find a detailed procedure to find GCD of 440, 880, 132 on our page.

3. How to find GCD of 440, 880, 132 on a calculator?

You can find the GCD of 440, 880, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.