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 108, 249, 753, 720 i.e. 3 largest integer that divides all the numbers equally.
GCD of 108, 249, 753, 720 is 3
GCD(108, 249, 753, 720) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 249, 753, 720 is 3
GCD(108, 249, 753, 720) = 3
Given Input numbers are 108, 249, 753, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
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
Greatest Common Divisior
We found the divisors of 108, 249, 753, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 249, 753, 720 is 3.
Therefore, GCD of numbers 108, 249, 753, 720 is 3
Given Input Data is 108, 249, 753, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 249 is 3 x 83
Prime Factorization of 753 is 3 x 251
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(108, 249) = 8964
GCD(108, 249) = ( 108 x 249 ) / 8964
GCD(108, 249) = 26892 / 8964
GCD(108, 249) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 753) = 753
GCD(3, 753) = ( 3 x 753 ) / 753
GCD(3, 753) = 2259 / 753
GCD(3, 753) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 720) = 720
GCD(3, 720) = ( 3 x 720 ) / 720
GCD(3, 720) = 2160 / 720
GCD(3, 720) = 3
GCD of 108, 249, 753, 720 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 249, 753, 720?
GCD of 108, 249, 753, 720 is 3
2. Where do I get the detailed procedure to find GCD of 108, 249, 753, 720?
You can find a detailed procedure to find GCD of 108, 249, 753, 720 on our page.
3. How to find GCD of 108, 249, 753, 720 on a calculator?
You can find the GCD of 108, 249, 753, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.