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, 961, 249, 173 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 961, 249, 173 is 1
GCD(369, 961, 249, 173) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 961, 249, 173 is 1
GCD(369, 961, 249, 173) = 1
Given Input numbers are 369, 961, 249, 173
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 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Greatest Common Divisior
We found the divisors of 369, 961, 249, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 961, 249, 173 is 1.
Therefore, GCD of numbers 369, 961, 249, 173 is 1
Given Input Data is 369, 961, 249, 173
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 961 is 31 x 31
Prime Factorization of 249 is 3 x 83
Prime Factorization of 173 is 173
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, 961) = 354609
GCD(369, 961) = ( 369 x 961 ) / 354609
GCD(369, 961) = 354609 / 354609
GCD(369, 961) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
GCD(1, 173) = 173 / 173
GCD(1, 173) = 1
GCD of 369, 961, 249, 173 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 961, 249, 173?
GCD of 369, 961, 249, 173 is 1
2. Where do I get the detailed procedure to find GCD of 369, 961, 249, 173?
You can find a detailed procedure to find GCD of 369, 961, 249, 173 on our page.
3. How to find GCD of 369, 961, 249, 173 on a calculator?
You can find the GCD of 369, 961, 249, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.