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 989, 292, 72, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 989, 292, 72, 729 is 1
GCD(989, 292, 72, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 989, 292, 72, 729 is 1
GCD(989, 292, 72, 729) = 1
Given Input numbers are 989, 292, 72, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 989, 292, 72, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 292, 72, 729 is 1.
Therefore, GCD of numbers 989, 292, 72, 729 is 1
Given Input Data is 989, 292, 72, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 989 is 23 x 43
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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(989, 292) = 288788
GCD(989, 292) = ( 989 x 292 ) / 288788
GCD(989, 292) = 288788 / 288788
GCD(989, 292) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 989, 292, 72, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 989, 292, 72, 729?
GCD of 989, 292, 72, 729 is 1
2. Where do I get the detailed procedure to find GCD of 989, 292, 72, 729?
You can find a detailed procedure to find GCD of 989, 292, 72, 729 on our page.
3. How to find GCD of 989, 292, 72, 729 on a calculator?
You can find the GCD of 989, 292, 72, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.