GCD of 381, 378, 371, 615 Calculator

Given Input numbers are 381, 378, 371, 615

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 381, 378, 371, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 378, 371, 615 is 1.

Therefore, GCD of numbers 381, 378, 371, 615 is 1

Given Input Data is 381, 378, 371, 615

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 371 is 7 x 53

Prime Factorization of 615 is 3 x 5 x 41

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(381, 378) = 48006

GCD(381, 378) = ( 381 x 378 ) / 48006

GCD(381, 378) = 144018 / 48006

GCD(381, 378) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 371

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

LCM(3, 371) = 1113

GCD(3, 371) = ( 3 x 371 ) / 1113

GCD(3, 371) = 1113 / 1113

GCD(3, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 381, 378, 371, 615 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 939, 741, 178
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1. What is the GCD of 381, 378, 371, 615?

GCD of 381, 378, 371, 615 is 1

2. Where do I get the detailed procedure to find GCD of 381, 378, 371, 615?

You can find a detailed procedure to find GCD of 381, 378, 371, 615 on our page.

3. How to find GCD of 381, 378, 371, 615 on a calculator?

You can find the GCD of 381, 378, 371, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.