GCD of 372, 375, 380 Calculator

Given Input numbers are 372, 375, 380

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

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 375

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

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 372, 375, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 375, 380 is 1.

Therefore, GCD of numbers 372, 375, 380 is 1

Given Input Data is 372, 375, 380

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

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

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(372, 375) = 46500

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

GCD(372, 375) = 139500 / 46500

GCD(372, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 380

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

LCM(3, 380) = 1140

GCD(3, 380) = ( 3 x 380 ) / 1140

GCD(3, 380) = 1140 / 1140

GCD(3, 380) = 1

GCD of 372, 375, 380 is 1

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1. What is the GCD of 372, 375, 380?

GCD of 372, 375, 380 is 1

2. Where do I get the detailed procedure to find GCD of 372, 375, 380?

You can find a detailed procedure to find GCD of 372, 375, 380 on our page.

3. How to find GCD of 372, 375, 380 on a calculator?

You can find the GCD of 372, 375, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.