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 798, 145, 605, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 145, 605, 225 is 1
GCD(798, 145, 605, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 145, 605, 225 is 1
GCD(798, 145, 605, 225) = 1
Given Input numbers are 798, 145, 605, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Greatest Common Divisior
We found the divisors of 798, 145, 605, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 145, 605, 225 is 1.
Therefore, GCD of numbers 798, 145, 605, 225 is 1
Given Input Data is 798, 145, 605, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 145 is 5 x 29
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 225 is 3 x 3 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(798, 145) = 115710
GCD(798, 145) = ( 798 x 145 ) / 115710
GCD(798, 145) = 115710 / 115710
GCD(798, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 798, 145, 605, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 145, 605, 225?
GCD of 798, 145, 605, 225 is 1
2. Where do I get the detailed procedure to find GCD of 798, 145, 605, 225?
You can find a detailed procedure to find GCD of 798, 145, 605, 225 on our page.
3. How to find GCD of 798, 145, 605, 225 on a calculator?
You can find the GCD of 798, 145, 605, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.