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 678, 729, 392, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 729, 392, 620 is 1
GCD(678, 729, 392, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 729, 392, 620 is 1
GCD(678, 729, 392, 620) = 1
Given Input numbers are 678, 729, 392, 620
To find the GCD of numbers using factoring list out all the divisors of each number
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 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 678, 729, 392, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 729, 392, 620 is 1.
Therefore, GCD of numbers 678, 729, 392, 620 is 1
Given Input Data is 678, 729, 392, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 620 is 2 x 2 x 5 x 31
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(678, 729) = 164754
GCD(678, 729) = ( 678 x 729 ) / 164754
GCD(678, 729) = 494262 / 164754
GCD(678, 729) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 392) = 1176
GCD(3, 392) = ( 3 x 392 ) / 1176
GCD(3, 392) = 1176 / 1176
GCD(3, 392) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
GCD of 678, 729, 392, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 729, 392, 620?
GCD of 678, 729, 392, 620 is 1
2. Where do I get the detailed procedure to find GCD of 678, 729, 392, 620?
You can find a detailed procedure to find GCD of 678, 729, 392, 620 on our page.
3. How to find GCD of 678, 729, 392, 620 on a calculator?
You can find the GCD of 678, 729, 392, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.