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 735, 989, 323, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 989, 323, 135 is 1
GCD(735, 989, 323, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 989, 323, 135 is 1
GCD(735, 989, 323, 135) = 1
Given Input numbers are 735, 989, 323, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 735, 989, 323, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 989, 323, 135 is 1.
Therefore, GCD of numbers 735, 989, 323, 135 is 1
Given Input Data is 735, 989, 323, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 989 is 23 x 43
Prime Factorization of 323 is 17 x 19
Prime Factorization of 135 is 3 x 3 x 3 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(735, 989) = 726915
GCD(735, 989) = ( 735 x 989 ) / 726915
GCD(735, 989) = 726915 / 726915
GCD(735, 989) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 735, 989, 323, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 989, 323, 135?
GCD of 735, 989, 323, 135 is 1
2. Where do I get the detailed procedure to find GCD of 735, 989, 323, 135?
You can find a detailed procedure to find GCD of 735, 989, 323, 135 on our page.
3. How to find GCD of 735, 989, 323, 135 on a calculator?
You can find the GCD of 735, 989, 323, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.