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 270, 113, 99, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 113, 99, 799 is 1
GCD(270, 113, 99, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 113, 99, 799 is 1
GCD(270, 113, 99, 799) = 1
Given Input numbers are 270, 113, 99, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 270, 113, 99, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 113, 99, 799 is 1.
Therefore, GCD of numbers 270, 113, 99, 799 is 1
Given Input Data is 270, 113, 99, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 113 is 113
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 799 is 17 x 47
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(270, 113) = 30510
GCD(270, 113) = ( 270 x 113 ) / 30510
GCD(270, 113) = 30510 / 30510
GCD(270, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 270, 113, 99, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 113, 99, 799?
GCD of 270, 113, 99, 799 is 1
2. Where do I get the detailed procedure to find GCD of 270, 113, 99, 799?
You can find a detailed procedure to find GCD of 270, 113, 99, 799 on our page.
3. How to find GCD of 270, 113, 99, 799 on a calculator?
You can find the GCD of 270, 113, 99, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.