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 78, 497, 590, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 497, 590, 720 is 1
GCD(78, 497, 590, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 497, 590, 720 is 1
GCD(78, 497, 590, 720) = 1
Given Input numbers are 78, 497, 590, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
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 78, 497, 590, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 497, 590, 720 is 1.
Therefore, GCD of numbers 78, 497, 590, 720 is 1
Given Input Data is 78, 497, 590, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 497 is 7 x 71
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(78, 497) = 38766
GCD(78, 497) = ( 78 x 497 ) / 38766
GCD(78, 497) = 38766 / 38766
GCD(78, 497) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
GCD(1, 590) = 590 / 590
GCD(1, 590) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 78, 497, 590, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 497, 590, 720?
GCD of 78, 497, 590, 720 is 1
2. Where do I get the detailed procedure to find GCD of 78, 497, 590, 720?
You can find a detailed procedure to find GCD of 78, 497, 590, 720 on our page.
3. How to find GCD of 78, 497, 590, 720 on a calculator?
You can find the GCD of 78, 497, 590, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.