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 797, 305, 310, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 305, 310, 750 is 1
GCD(797, 305, 310, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 305, 310, 750 is 1
GCD(797, 305, 310, 750) = 1
Given Input numbers are 797, 305, 310, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 797, 305, 310, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 305, 310, 750 is 1.
Therefore, GCD of numbers 797, 305, 310, 750 is 1
Given Input Data is 797, 305, 310, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 305 is 5 x 61
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 750 is 2 x 3 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(797, 305) = 243085
GCD(797, 305) = ( 797 x 305 ) / 243085
GCD(797, 305) = 243085 / 243085
GCD(797, 305) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
GCD of 797, 305, 310, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 305, 310, 750?
GCD of 797, 305, 310, 750 is 1
2. Where do I get the detailed procedure to find GCD of 797, 305, 310, 750?
You can find a detailed procedure to find GCD of 797, 305, 310, 750 on our page.
3. How to find GCD of 797, 305, 310, 750 on a calculator?
You can find the GCD of 797, 305, 310, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.