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 788, 600, 59, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 600, 59, 613 is 1
GCD(788, 600, 59, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 600, 59, 613 is 1
GCD(788, 600, 59, 613) = 1
Given Input numbers are 788, 600, 59, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
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 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 788, 600, 59, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 600, 59, 613 is 1.
Therefore, GCD of numbers 788, 600, 59, 613 is 1
Given Input Data is 788, 600, 59, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 59 is 59
Prime Factorization of 613 is 613
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(788, 600) = 118200
GCD(788, 600) = ( 788 x 600 ) / 118200
GCD(788, 600) = 472800 / 118200
GCD(788, 600) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 59) = 236
GCD(4, 59) = ( 4 x 59 ) / 236
GCD(4, 59) = 236 / 236
GCD(4, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 788, 600, 59, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 600, 59, 613?
GCD of 788, 600, 59, 613 is 1
2. Where do I get the detailed procedure to find GCD of 788, 600, 59, 613?
You can find a detailed procedure to find GCD of 788, 600, 59, 613 on our page.
3. How to find GCD of 788, 600, 59, 613 on a calculator?
You can find the GCD of 788, 600, 59, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.