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 793, 107, 306, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 107, 306, 625 is 1
GCD(793, 107, 306, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 107, 306, 625 is 1
GCD(793, 107, 306, 625) = 1
Given Input numbers are 793, 107, 306, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 793, 107, 306, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 107, 306, 625 is 1.
Therefore, GCD of numbers 793, 107, 306, 625 is 1
Given Input Data is 793, 107, 306, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 107 is 107
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 625 is 5 x 5 x 5 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(793, 107) = 84851
GCD(793, 107) = ( 793 x 107 ) / 84851
GCD(793, 107) = 84851 / 84851
GCD(793, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 793, 107, 306, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 107, 306, 625?
GCD of 793, 107, 306, 625 is 1
2. Where do I get the detailed procedure to find GCD of 793, 107, 306, 625?
You can find a detailed procedure to find GCD of 793, 107, 306, 625 on our page.
3. How to find GCD of 793, 107, 306, 625 on a calculator?
You can find the GCD of 793, 107, 306, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.