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 600, 426, 59, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 426, 59, 730 is 1
GCD(600, 426, 59, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 426, 59, 730 is 1
GCD(600, 426, 59, 730) = 1
Given Input numbers are 600, 426, 59, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 600, 426, 59, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 426, 59, 730 is 1.
Therefore, GCD of numbers 600, 426, 59, 730 is 1
Given Input Data is 600, 426, 59, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 59 is 59
Prime Factorization of 730 is 2 x 5 x 73
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(600, 426) = 42600
GCD(600, 426) = ( 600 x 426 ) / 42600
GCD(600, 426) = 255600 / 42600
GCD(600, 426) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 59) = 354
GCD(6, 59) = ( 6 x 59 ) / 354
GCD(6, 59) = 354 / 354
GCD(6, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 600, 426, 59, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 426, 59, 730?
GCD of 600, 426, 59, 730 is 1
2. Where do I get the detailed procedure to find GCD of 600, 426, 59, 730?
You can find a detailed procedure to find GCD of 600, 426, 59, 730 on our page.
3. How to find GCD of 600, 426, 59, 730 on a calculator?
You can find the GCD of 600, 426, 59, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.