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 359, 315, 89 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 315, 89 is 1
GCD(359, 315, 89) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 315, 89 is 1
GCD(359, 315, 89) = 1
Given Input numbers are 359, 315, 89
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Greatest Common Divisior
We found the divisors of 359, 315, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 315, 89 is 1.
Therefore, GCD of numbers 359, 315, 89 is 1
Given Input Data is 359, 315, 89
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 89 is 89
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(359, 315) = 113085
GCD(359, 315) = ( 359 x 315 ) / 113085
GCD(359, 315) = 113085 / 113085
GCD(359, 315) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
GCD of 359, 315, 89 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 315, 89?
GCD of 359, 315, 89 is 1
2. Where do I get the detailed procedure to find GCD of 359, 315, 89?
You can find a detailed procedure to find GCD of 359, 315, 89 on our page.
3. How to find GCD of 359, 315, 89 on a calculator?
You can find the GCD of 359, 315, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.