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, 720, 74, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 599, 720, 74, 958 is 1
GCD(599, 720, 74, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 599, 720, 74, 958 is 1
GCD(599, 720, 74, 958) = 1
Given Input numbers are 599, 720, 74, 958
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 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 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 599, 720, 74, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 720, 74, 958 is 1.
Therefore, GCD of numbers 599, 720, 74, 958 is 1
Given Input Data is 599, 720, 74, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 599 is 599
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 74 is 2 x 37
Prime Factorization of 958 is 2 x 479
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, 720) = 431280
GCD(599, 720) = ( 599 x 720 ) / 431280
GCD(599, 720) = 431280 / 431280
GCD(599, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 599, 720, 74, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 599, 720, 74, 958?
GCD of 599, 720, 74, 958 is 1
2. Where do I get the detailed procedure to find GCD of 599, 720, 74, 958?
You can find a detailed procedure to find GCD of 599, 720, 74, 958 on our page.
3. How to find GCD of 599, 720, 74, 958 on a calculator?
You can find the GCD of 599, 720, 74, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.