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 599, 780, 72, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 599, 780, 72, 501 is 1
GCD(599, 780, 72, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 599, 780, 72, 501 is 1
GCD(599, 780, 72, 501) = 1
Given Input numbers are 599, 780, 72, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 599, 780, 72, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 780, 72, 501 is 1.
Therefore, GCD of numbers 599, 780, 72, 501 is 1
Given Input Data is 599, 780, 72, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 599 is 599
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 501 is 3 x 167
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(599, 780) = 467220
GCD(599, 780) = ( 599 x 780 ) / 467220
GCD(599, 780) = 467220 / 467220
GCD(599, 780) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 599, 780, 72, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 599, 780, 72, 501?
GCD of 599, 780, 72, 501 is 1
2. Where do I get the detailed procedure to find GCD of 599, 780, 72, 501?
You can find a detailed procedure to find GCD of 599, 780, 72, 501 on our page.
3. How to find GCD of 599, 780, 72, 501 on a calculator?
You can find the GCD of 599, 780, 72, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.