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 98, 235, 912, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 235, 912, 728 is 1
GCD(98, 235, 912, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 235, 912, 728 is 1
GCD(98, 235, 912, 728) = 1
Given Input numbers are 98, 235, 912, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 98, 235, 912, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 235, 912, 728 is 1.
Therefore, GCD of numbers 98, 235, 912, 728 is 1
Given Input Data is 98, 235, 912, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 235 is 5 x 47
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(98, 235) = 23030
GCD(98, 235) = ( 98 x 235 ) / 23030
GCD(98, 235) = 23030 / 23030
GCD(98, 235) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 98, 235, 912, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 235, 912, 728?
GCD of 98, 235, 912, 728 is 1
2. Where do I get the detailed procedure to find GCD of 98, 235, 912, 728?
You can find a detailed procedure to find GCD of 98, 235, 912, 728 on our page.
3. How to find GCD of 98, 235, 912, 728 on a calculator?
You can find the GCD of 98, 235, 912, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.