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 173, 420, 289, 183 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 420, 289, 183 is 1
GCD(173, 420, 289, 183) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 420, 289, 183 is 1
GCD(173, 420, 289, 183) = 1
Given Input numbers are 173, 420, 289, 183
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Greatest Common Divisior
We found the divisors of 173, 420, 289, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 420, 289, 183 is 1.
Therefore, GCD of numbers 173, 420, 289, 183 is 1
Given Input Data is 173, 420, 289, 183
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 289 is 17 x 17
Prime Factorization of 183 is 3 x 61
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(173, 420) = 72660
GCD(173, 420) = ( 173 x 420 ) / 72660
GCD(173, 420) = 72660 / 72660
GCD(173, 420) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 183) = 183
GCD(1, 183) = ( 1 x 183 ) / 183
GCD(1, 183) = 183 / 183
GCD(1, 183) = 1
GCD of 173, 420, 289, 183 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 420, 289, 183?
GCD of 173, 420, 289, 183 is 1
2. Where do I get the detailed procedure to find GCD of 173, 420, 289, 183?
You can find a detailed procedure to find GCD of 173, 420, 289, 183 on our page.
3. How to find GCD of 173, 420, 289, 183 on a calculator?
You can find the GCD of 173, 420, 289, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.