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, 788, 948, 116 i.e. 2 largest integer that divides all the numbers equally.
GCD of 978, 788, 948, 116 is 2
GCD(978, 788, 948, 116) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 788, 948, 116 is 2
GCD(978, 788, 948, 116) = 2
Given Input numbers are 978, 788, 948, 116
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 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 978, 788, 948, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 788, 948, 116 is 2.
Therefore, GCD of numbers 978, 788, 948, 116 is 2
Given Input Data is 978, 788, 948, 116
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 788 is 2 x 2 x 197
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 116 is 2 x 2 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 788) = 385332
GCD(978, 788) = ( 978 x 788 ) / 385332
GCD(978, 788) = 770664 / 385332
GCD(978, 788) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 948) = 948
GCD(2, 948) = ( 2 x 948 ) / 948
GCD(2, 948) = 1896 / 948
GCD(2, 948) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
GCD(2, 116) = 232 / 116
GCD(2, 116) = 2
GCD of 978, 788, 948, 116 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 788, 948, 116?
GCD of 978, 788, 948, 116 is 2
2. Where do I get the detailed procedure to find GCD of 978, 788, 948, 116?
You can find a detailed procedure to find GCD of 978, 788, 948, 116 on our page.
3. How to find GCD of 978, 788, 948, 116 on a calculator?
You can find the GCD of 978, 788, 948, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.