GCD of 117, 312, 903 Calculator
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 117, 312, 903 i.e. 3 largest integer that divides all the numbers equally.
GCD of 117, 312, 903 is 3
GCD(117, 312, 903) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 312, 903 is 3
GCD(117, 312, 903) = 3
GCDof 117,312,903 is 3
Given Input numbers are 117, 312, 903
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Greatest Common Divisior
We found the divisors of 117, 312, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 312, 903 is 3.
Therefore, GCD of numbers 117, 312, 903 is 3
Given Input Data is 117, 312, 903
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 903 is 3 x 7 x 43
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 117, 312, 903 using LCM Formula
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(117, 312) = 936
GCD(117, 312) = ( 117 x 312 ) / 936
GCD(117, 312) = 36504 / 936
GCD(117, 312) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 903) = 11739
GCD(39, 903) = ( 39 x 903 ) / 11739
GCD(39, 903) = 35217 / 11739
GCD(39, 903) = 3
GCD of 117, 312, 903 is 3
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FAQs on GCD of numbers 117, 312, 903
1. What is the GCD of 117, 312, 903?
GCD of 117, 312, 903 is 3
2. Where do I get the detailed procedure to find GCD of 117, 312, 903?
You can find a detailed procedure to find GCD of 117, 312, 903 on our page.
3. How to find GCD of 117, 312, 903 on a calculator?
You can find the GCD of 117, 312, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.