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 729, 365, 98, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 365, 98, 628 is 1
GCD(729, 365, 98, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 365, 98, 628 is 1
GCD(729, 365, 98, 628) = 1
Given Input numbers are 729, 365, 98, 628
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 729, 365, 98, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 365, 98, 628 is 1.
Therefore, GCD of numbers 729, 365, 98, 628 is 1
Given Input Data is 729, 365, 98, 628
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 365 is 5 x 73
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 628 is 2 x 2 x 157
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(729, 365) = 266085
GCD(729, 365) = ( 729 x 365 ) / 266085
GCD(729, 365) = 266085 / 266085
GCD(729, 365) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 98) = 98
GCD(1, 98) = ( 1 x 98 ) / 98
GCD(1, 98) = 98 / 98
GCD(1, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
GCD of 729, 365, 98, 628 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 365, 98, 628?
GCD of 729, 365, 98, 628 is 1
2. Where do I get the detailed procedure to find GCD of 729, 365, 98, 628?
You can find a detailed procedure to find GCD of 729, 365, 98, 628 on our page.
3. How to find GCD of 729, 365, 98, 628 on a calculator?
You can find the GCD of 729, 365, 98, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.