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, 678, 52, 593 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 678, 52, 593 is 1
GCD(720, 678, 52, 593) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 678, 52, 593 is 1
GCD(720, 678, 52, 593) = 1
Given Input numbers are 720, 678, 52, 593
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 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Greatest Common Divisior
We found the divisors of 720, 678, 52, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 678, 52, 593 is 1.
Therefore, GCD of numbers 720, 678, 52, 593 is 1
Given Input Data is 720, 678, 52, 593
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 678 is 2 x 3 x 113
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 593 is 593
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, 678) = 81360
GCD(720, 678) = ( 720 x 678 ) / 81360
GCD(720, 678) = 488160 / 81360
GCD(720, 678) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 52) = 156
GCD(6, 52) = ( 6 x 52 ) / 156
GCD(6, 52) = 312 / 156
GCD(6, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 593
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 593) = 1186
GCD(2, 593) = ( 2 x 593 ) / 1186
GCD(2, 593) = 1186 / 1186
GCD(2, 593) = 1
GCD of 720, 678, 52, 593 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 678, 52, 593?
GCD of 720, 678, 52, 593 is 1
2. Where do I get the detailed procedure to find GCD of 720, 678, 52, 593?
You can find a detailed procedure to find GCD of 720, 678, 52, 593 on our page.
3. How to find GCD of 720, 678, 52, 593 on a calculator?
You can find the GCD of 720, 678, 52, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.