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 387, 399, 90, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 399, 90, 878 is 1
GCD(387, 399, 90, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 399, 90, 878 is 1
GCD(387, 399, 90, 878) = 1
Given Input numbers are 387, 399, 90, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 387, 399, 90, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 399, 90, 878 is 1.
Therefore, GCD of numbers 387, 399, 90, 878 is 1
Given Input Data is 387, 399, 90, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 878 is 2 x 439
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(387, 399) = 51471
GCD(387, 399) = ( 387 x 399 ) / 51471
GCD(387, 399) = 154413 / 51471
GCD(387, 399) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 90) = 90
GCD(3, 90) = ( 3 x 90 ) / 90
GCD(3, 90) = 270 / 90
GCD(3, 90) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 878) = 2634
GCD(3, 878) = ( 3 x 878 ) / 2634
GCD(3, 878) = 2634 / 2634
GCD(3, 878) = 1
GCD of 387, 399, 90, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 399, 90, 878?
GCD of 387, 399, 90, 878 is 1
2. Where do I get the detailed procedure to find GCD of 387, 399, 90, 878?
You can find a detailed procedure to find GCD of 387, 399, 90, 878 on our page.
3. How to find GCD of 387, 399, 90, 878 on a calculator?
You can find the GCD of 387, 399, 90, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.