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, 902, 200, 342 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 902, 200, 342 is 1
GCD(173, 902, 200, 342) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 902, 200, 342 is 1
GCD(173, 902, 200, 342) = 1
Given Input numbers are 173, 902, 200, 342
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Greatest Common Divisior
We found the divisors of 173, 902, 200, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 902, 200, 342 is 1.
Therefore, GCD of numbers 173, 902, 200, 342 is 1
Given Input Data is 173, 902, 200, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 342 is 2 x 3 x 3 x 19
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, 902) = 156046
GCD(173, 902) = ( 173 x 902 ) / 156046
GCD(173, 902) = 156046 / 156046
GCD(173, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
GCD of 173, 902, 200, 342 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 902, 200, 342?
GCD of 173, 902, 200, 342 is 1
2. Where do I get the detailed procedure to find GCD of 173, 902, 200, 342?
You can find a detailed procedure to find GCD of 173, 902, 200, 342 on our page.
3. How to find GCD of 173, 902, 200, 342 on a calculator?
You can find the GCD of 173, 902, 200, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.