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 390, 906, 78 i.e. 6 largest integer that divides all the numbers equally.
GCD of 390, 906, 78 is 6
GCD(390, 906, 78) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 906, 78 is 6
GCD(390, 906, 78) = 6
Given Input numbers are 390, 906, 78
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Greatest Common Divisior
We found the divisors of 390, 906, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 906, 78 is 6.
Therefore, GCD of numbers 390, 906, 78 is 6
Given Input Data is 390, 906, 78
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 78 is 2 x 3 x 13
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(390, 906) = 58890
GCD(390, 906) = ( 390 x 906 ) / 58890
GCD(390, 906) = 353340 / 58890
GCD(390, 906) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 78) = 78
GCD(6, 78) = ( 6 x 78 ) / 78
GCD(6, 78) = 468 / 78
GCD(6, 78) = 6
GCD of 390, 906, 78 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 906, 78?
GCD of 390, 906, 78 is 6
2. Where do I get the detailed procedure to find GCD of 390, 906, 78?
You can find a detailed procedure to find GCD of 390, 906, 78 on our page.
3. How to find GCD of 390, 906, 78 on a calculator?
You can find the GCD of 390, 906, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.