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 780, 678, 28, 599 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 678, 28, 599 is 1
GCD(780, 678, 28, 599) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 678, 28, 599 is 1
GCD(780, 678, 28, 599) = 1
Given Input numbers are 780, 678, 28, 599
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Greatest Common Divisior
We found the divisors of 780, 678, 28, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 678, 28, 599 is 1.
Therefore, GCD of numbers 780, 678, 28, 599 is 1
Given Input Data is 780, 678, 28, 599
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 599 is 599
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(780, 678) = 88140
GCD(780, 678) = ( 780 x 678 ) / 88140
GCD(780, 678) = 528840 / 88140
GCD(780, 678) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 28) = 84
GCD(6, 28) = ( 6 x 28 ) / 84
GCD(6, 28) = 168 / 84
GCD(6, 28) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 599) = 1198
GCD(2, 599) = ( 2 x 599 ) / 1198
GCD(2, 599) = 1198 / 1198
GCD(2, 599) = 1
GCD of 780, 678, 28, 599 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 678, 28, 599?
GCD of 780, 678, 28, 599 is 1
2. Where do I get the detailed procedure to find GCD of 780, 678, 28, 599?
You can find a detailed procedure to find GCD of 780, 678, 28, 599 on our page.
3. How to find GCD of 780, 678, 28, 599 on a calculator?
You can find the GCD of 780, 678, 28, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.