GCD of 372, 369, 141 Calculator

Given Input numbers are 372, 369, 141

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 372, 369, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 369, 141 is 3.

Therefore, GCD of numbers 372, 369, 141 is 3

Given Input Data is 372, 369, 141

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 369 is 3 x 3 x 41

Prime Factorization of 141 is 3 x 47

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(372, 369) = 45756

GCD(372, 369) = ( 372 x 369 ) / 45756

GCD(372, 369) = 137268 / 45756

GCD(372, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 141

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

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

GCD(3, 141) = 423 / 141

GCD(3, 141) = 3

GCD of 372, 369, 141 is 3

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1. What is the GCD of 372, 369, 141?

GCD of 372, 369, 141 is 3

2. Where do I get the detailed procedure to find GCD of 372, 369, 141?

You can find a detailed procedure to find GCD of 372, 369, 141 on our page.

3. How to find GCD of 372, 369, 141 on a calculator?

You can find the GCD of 372, 369, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.