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 795, 300, 98 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 300, 98 is 1
GCD(795, 300, 98) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 300, 98 is 1
GCD(795, 300, 98) = 1
Given Input numbers are 795, 300, 98
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Greatest Common Divisior
We found the divisors of 795, 300, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 300, 98 is 1.
Therefore, GCD of numbers 795, 300, 98 is 1
Given Input Data is 795, 300, 98
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 98 is 2 x 7 x 7
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(795, 300) = 15900
GCD(795, 300) = ( 795 x 300 ) / 15900
GCD(795, 300) = 238500 / 15900
GCD(795, 300) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 98) = 1470
GCD(15, 98) = ( 15 x 98 ) / 1470
GCD(15, 98) = 1470 / 1470
GCD(15, 98) = 1
GCD of 795, 300, 98 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 300, 98?
GCD of 795, 300, 98 is 1
2. Where do I get the detailed procedure to find GCD of 795, 300, 98?
You can find a detailed procedure to find GCD of 795, 300, 98 on our page.
3. How to find GCD of 795, 300, 98 on a calculator?
You can find the GCD of 795, 300, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.