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, 848, 393, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 848, 393, 735 is 1
GCD(173, 848, 393, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 848, 393, 735 is 1
GCD(173, 848, 393, 735) = 1
Given Input numbers are 173, 848, 393, 735
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 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 173, 848, 393, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 848, 393, 735 is 1.
Therefore, GCD of numbers 173, 848, 393, 735 is 1
Given Input Data is 173, 848, 393, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 393 is 3 x 131
Prime Factorization of 735 is 3 x 5 x 7 x 7
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, 848) = 146704
GCD(173, 848) = ( 173 x 848 ) / 146704
GCD(173, 848) = 146704 / 146704
GCD(173, 848) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
GCD of 173, 848, 393, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 848, 393, 735?
GCD of 173, 848, 393, 735 is 1
2. Where do I get the detailed procedure to find GCD of 173, 848, 393, 735?
You can find a detailed procedure to find GCD of 173, 848, 393, 735 on our page.
3. How to find GCD of 173, 848, 393, 735 on a calculator?
You can find the GCD of 173, 848, 393, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.