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 720, 118, 326 i.e. 2 largest integer that divides all the numbers equally.
GCD of 720, 118, 326 is 2
GCD(720, 118, 326) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 118, 326 is 2
GCD(720, 118, 326) = 2
Given Input numbers are 720, 118, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 720, 118, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 118, 326 is 2.
Therefore, GCD of numbers 720, 118, 326 is 2
Given Input Data is 720, 118, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 118 is 2 x 59
Prime Factorization of 326 is 2 x 163
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(720, 118) = 42480
GCD(720, 118) = ( 720 x 118 ) / 42480
GCD(720, 118) = 84960 / 42480
GCD(720, 118) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 326) = 326
GCD(2, 326) = ( 2 x 326 ) / 326
GCD(2, 326) = 652 / 326
GCD(2, 326) = 2
GCD of 720, 118, 326 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 118, 326?
GCD of 720, 118, 326 is 2
2. Where do I get the detailed procedure to find GCD of 720, 118, 326?
You can find a detailed procedure to find GCD of 720, 118, 326 on our page.
3. How to find GCD of 720, 118, 326 on a calculator?
You can find the GCD of 720, 118, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.