GCD of 375, 372, 30, 132 Calculator

Given Input numbers are 375, 372, 30, 132

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 375, 372, 30, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 372, 30, 132 is 3.

Therefore, GCD of numbers 375, 372, 30, 132 is 3

Given Input Data is 375, 372, 30, 132

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 30 is 2 x 3 x 5

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(375, 372) = 46500

GCD(375, 372) = ( 375 x 372 ) / 46500

GCD(375, 372) = 139500 / 46500

GCD(375, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 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 375, 372, 30, 132 is 3

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1. What is the GCD of 375, 372, 30, 132?

GCD of 375, 372, 30, 132 is 3

2. Where do I get the detailed procedure to find GCD of 375, 372, 30, 132?

You can find a detailed procedure to find GCD of 375, 372, 30, 132 on our page.

3. How to find GCD of 375, 372, 30, 132 on a calculator?

You can find the GCD of 375, 372, 30, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.