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 978, 129, 650, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 129, 650, 124 is 1
GCD(978, 129, 650, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 129, 650, 124 is 1
GCD(978, 129, 650, 124) = 1
Given Input numbers are 978, 129, 650, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 978, 129, 650, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 129, 650, 124 is 1.
Therefore, GCD of numbers 978, 129, 650, 124 is 1
Given Input Data is 978, 129, 650, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 129 is 3 x 43
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 124 is 2 x 2 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(978, 129) = 42054
GCD(978, 129) = ( 978 x 129 ) / 42054
GCD(978, 129) = 126162 / 42054
GCD(978, 129) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 650) = 1950
GCD(3, 650) = ( 3 x 650 ) / 1950
GCD(3, 650) = 1950 / 1950
GCD(3, 650) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 978, 129, 650, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 129, 650, 124?
GCD of 978, 129, 650, 124 is 1
2. Where do I get the detailed procedure to find GCD of 978, 129, 650, 124?
You can find a detailed procedure to find GCD of 978, 129, 650, 124 on our page.
3. How to find GCD of 978, 129, 650, 124 on a calculator?
You can find the GCD of 978, 129, 650, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.