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 750, 813, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 813, 298 is 1
GCD(750, 813, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 813, 298 is 1
GCD(750, 813, 298) = 1
Given Input numbers are 750, 813, 298
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 750, 813, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 813, 298 is 1.
Therefore, GCD of numbers 750, 813, 298 is 1
Given Input Data is 750, 813, 298
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 813 is 3 x 271
Prime Factorization of 298 is 2 x 149
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(750, 813) = 203250
GCD(750, 813) = ( 750 x 813 ) / 203250
GCD(750, 813) = 609750 / 203250
GCD(750, 813) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 298) = 894
GCD(3, 298) = ( 3 x 298 ) / 894
GCD(3, 298) = 894 / 894
GCD(3, 298) = 1
GCD of 750, 813, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 813, 298?
GCD of 750, 813, 298 is 1
2. Where do I get the detailed procedure to find GCD of 750, 813, 298?
You can find a detailed procedure to find GCD of 750, 813, 298 on our page.
3. How to find GCD of 750, 813, 298 on a calculator?
You can find the GCD of 750, 813, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.