GCD of 667, 407, 387, 378 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 667, 407, 387, 378 i.e. 1 largest integer that divides all the numbers equally.

GCD of 667, 407, 387, 378 is 1

GCD(667, 407, 387, 378) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 667, 407, 387, 378 is 1

GCD(667, 407, 387, 378) = 1

GCD of 667,407,387,378 Calculator

GCDof 667,407,387,378 is 1

Given Input numbers are 667, 407, 387, 378

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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

Greatest Common Divisior

We found the divisors of 667, 407, 387, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 407, 387, 378 is 1.

Therefore, GCD of numbers 667, 407, 387, 378 is 1

Finding GCD of 667, 407, 387, 378 using Prime Factorization

Given Input Data is 667, 407, 387, 378

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 407 is 11 x 37

Prime Factorization of 387 is 3 x 3 x 43

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

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

Finding GCD of 667, 407, 387, 378 using LCM Formula

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(667, 407) = 271469

GCD(667, 407) = ( 667 x 407 ) / 271469

GCD(667, 407) = 271469 / 271469

GCD(667, 407) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 667, 407, 387, 378 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 667, 407, 387, 378

1. What is the GCD of 667, 407, 387, 378?

GCD of 667, 407, 387, 378 is 1


2. Where do I get the detailed procedure to find GCD of 667, 407, 387, 378?

You can find a detailed procedure to find GCD of 667, 407, 387, 378 on our page.


3. How to find GCD of 667, 407, 387, 378 on a calculator?

You can find the GCD of 667, 407, 387, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.