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 369, 670, 89 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 670, 89 is 1
GCD(369, 670, 89) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 670, 89 is 1
GCD(369, 670, 89) = 1
Given Input numbers are 369, 670, 89
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
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 369, 670, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 670, 89 is 1.
Therefore, GCD of numbers 369, 670, 89 is 1
Given Input Data is 369, 670, 89
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 670 is 2 x 5 x 67
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(369, 670) = 247230
GCD(369, 670) = ( 369 x 670 ) / 247230
GCD(369, 670) = 247230 / 247230
GCD(369, 670) = 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 369, 670, 89 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 670, 89?
GCD of 369, 670, 89 is 1
2. Where do I get the detailed procedure to find GCD of 369, 670, 89?
You can find a detailed procedure to find GCD of 369, 670, 89 on our page.
3. How to find GCD of 369, 670, 89 on a calculator?
You can find the GCD of 369, 670, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.