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, 733, 121, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 733, 121, 956 is 1
GCD(978, 733, 121, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 733, 121, 956 is 1
GCD(978, 733, 121, 956) = 1
Given Input numbers are 978, 733, 121, 956
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 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 978, 733, 121, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 733, 121, 956 is 1.
Therefore, GCD of numbers 978, 733, 121, 956 is 1
Given Input Data is 978, 733, 121, 956
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 733 is 733
Prime Factorization of 121 is 11 x 11
Prime Factorization of 956 is 2 x 2 x 239
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, 733) = 716874
GCD(978, 733) = ( 978 x 733 ) / 716874
GCD(978, 733) = 716874 / 716874
GCD(978, 733) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
GCD of 978, 733, 121, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 733, 121, 956?
GCD of 978, 733, 121, 956 is 1
2. Where do I get the detailed procedure to find GCD of 978, 733, 121, 956?
You can find a detailed procedure to find GCD of 978, 733, 121, 956 on our page.
3. How to find GCD of 978, 733, 121, 956 on a calculator?
You can find the GCD of 978, 733, 121, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.