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 78, 847, 748, 988 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 847, 748, 988 is 1
GCD(78, 847, 748, 988) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 847, 748, 988 is 1
GCD(78, 847, 748, 988) = 1
Given Input numbers are 78, 847, 748, 988
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Greatest Common Divisior
We found the divisors of 78, 847, 748, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 847, 748, 988 is 1.
Therefore, GCD of numbers 78, 847, 748, 988 is 1
Given Input Data is 78, 847, 748, 988
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 988 is 2 x 2 x 13 x 19
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(78, 847) = 66066
GCD(78, 847) = ( 78 x 847 ) / 66066
GCD(78, 847) = 66066 / 66066
GCD(78, 847) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
GCD of 78, 847, 748, 988 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 847, 748, 988?
GCD of 78, 847, 748, 988 is 1
2. Where do I get the detailed procedure to find GCD of 78, 847, 748, 988?
You can find a detailed procedure to find GCD of 78, 847, 748, 988 on our page.
3. How to find GCD of 78, 847, 748, 988 on a calculator?
You can find the GCD of 78, 847, 748, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.