GCD of 231, 372, 54, 379 Calculator

Given Input numbers are 231, 372, 54, 379

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

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 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 231, 372, 54, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 372, 54, 379 is 1.

Therefore, GCD of numbers 231, 372, 54, 379 is 1

Given Input Data is 231, 372, 54, 379

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

Prime Factorization of 231 is 3 x 7 x 11

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 379 is 379

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(231, 372) = 28644

GCD(231, 372) = ( 231 x 372 ) / 28644

GCD(231, 372) = 85932 / 28644

GCD(231, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 379

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

LCM(3, 379) = 1137

GCD(3, 379) = ( 3 x 379 ) / 1137

GCD(3, 379) = 1137 / 1137

GCD(3, 379) = 1

GCD of 231, 372, 54, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 509, 40, 977
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• GCD of 492, 700, 93, 178

1. What is the GCD of 231, 372, 54, 379?

GCD of 231, 372, 54, 379 is 1

2. Where do I get the detailed procedure to find GCD of 231, 372, 54, 379?

You can find a detailed procedure to find GCD of 231, 372, 54, 379 on our page.

3. How to find GCD of 231, 372, 54, 379 on a calculator?

You can find the GCD of 231, 372, 54, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.