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 116, 999, 113, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 999, 113, 552 is 1
GCD(116, 999, 113, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 999, 113, 552 is 1
GCD(116, 999, 113, 552) = 1
Given Input numbers are 116, 999, 113, 552
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Greatest Common Divisior
We found the divisors of 116, 999, 113, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 999, 113, 552 is 1.
Therefore, GCD of numbers 116, 999, 113, 552 is 1
Given Input Data is 116, 999, 113, 552
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 113 is 113
Prime Factorization of 552 is 2 x 2 x 2 x 3 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(116, 999) = 115884
GCD(116, 999) = ( 116 x 999 ) / 115884
GCD(116, 999) = 115884 / 115884
GCD(116, 999) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 116, 999, 113, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 999, 113, 552?
GCD of 116, 999, 113, 552 is 1
2. Where do I get the detailed procedure to find GCD of 116, 999, 113, 552?
You can find a detailed procedure to find GCD of 116, 999, 113, 552 on our page.
3. How to find GCD of 116, 999, 113, 552 on a calculator?
You can find the GCD of 116, 999, 113, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.