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, 818, 688, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 818, 688, 279 is 1
GCD(720, 818, 688, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 818, 688, 279 is 1
GCD(720, 818, 688, 279) = 1
Given Input numbers are 720, 818, 688, 279
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 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 720, 818, 688, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 818, 688, 279 is 1.
Therefore, GCD of numbers 720, 818, 688, 279 is 1
Given Input Data is 720, 818, 688, 279
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 818 is 2 x 409
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 279 is 3 x 3 x 31
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(720, 818) = 294480
GCD(720, 818) = ( 720 x 818 ) / 294480
GCD(720, 818) = 588960 / 294480
GCD(720, 818) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
GCD(2, 688) = 1376 / 688
GCD(2, 688) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 279) = 558
GCD(2, 279) = ( 2 x 279 ) / 558
GCD(2, 279) = 558 / 558
GCD(2, 279) = 1
GCD of 720, 818, 688, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 818, 688, 279?
GCD of 720, 818, 688, 279 is 1
2. Where do I get the detailed procedure to find GCD of 720, 818, 688, 279?
You can find a detailed procedure to find GCD of 720, 818, 688, 279 on our page.
3. How to find GCD of 720, 818, 688, 279 on a calculator?
You can find the GCD of 720, 818, 688, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.