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 99, 658, 789, 115 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 658, 789, 115 is 1
GCD(99, 658, 789, 115) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 658, 789, 115 is 1
GCD(99, 658, 789, 115) = 1
Given Input numbers are 99, 658, 789, 115
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Greatest Common Divisior
We found the divisors of 99, 658, 789, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 658, 789, 115 is 1.
Therefore, GCD of numbers 99, 658, 789, 115 is 1
Given Input Data is 99, 658, 789, 115
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 789 is 3 x 263
Prime Factorization of 115 is 5 x 23
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(99, 658) = 65142
GCD(99, 658) = ( 99 x 658 ) / 65142
GCD(99, 658) = 65142 / 65142
GCD(99, 658) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
GCD(1, 115) = 115 / 115
GCD(1, 115) = 1
GCD of 99, 658, 789, 115 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 658, 789, 115?
GCD of 99, 658, 789, 115 is 1
2. Where do I get the detailed procedure to find GCD of 99, 658, 789, 115?
You can find a detailed procedure to find GCD of 99, 658, 789, 115 on our page.
3. How to find GCD of 99, 658, 789, 115 on a calculator?
You can find the GCD of 99, 658, 789, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.