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 108, 635, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 635, 978 is 1
GCD(108, 635, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 635, 978 is 1
GCD(108, 635, 978) = 1
Given Input numbers are 108, 635, 978
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Greatest Common Divisior
We found the divisors of 108, 635, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 635, 978 is 1.
Therefore, GCD of numbers 108, 635, 978 is 1
Given Input Data is 108, 635, 978
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 635 is 5 x 127
Prime Factorization of 978 is 2 x 3 x 163
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(108, 635) = 68580
GCD(108, 635) = ( 108 x 635 ) / 68580
GCD(108, 635) = 68580 / 68580
GCD(108, 635) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
GCD of 108, 635, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 635, 978?
GCD of 108, 635, 978 is 1
2. Where do I get the detailed procedure to find GCD of 108, 635, 978?
You can find a detailed procedure to find GCD of 108, 635, 978 on our page.
3. How to find GCD of 108, 635, 978 on a calculator?
You can find the GCD of 108, 635, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.