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 numbers 667, 407, 387, 378 is 1
GCD(667, 407, 387, 378) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.