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 174, 198, 53, 796 i.e. 1 largest integer that divides all the numbers equally.
GCD of 174, 198, 53, 796 is 1
GCD(174, 198, 53, 796) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 198, 53, 796 is 1
GCD(174, 198, 53, 796) = 1
Given Input numbers are 174, 198, 53, 796
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 174, 198, 53, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 198, 53, 796 is 1.
Therefore, GCD of numbers 174, 198, 53, 796 is 1
Given Input Data is 174, 198, 53, 796
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 53 is 53
Prime Factorization of 796 is 2 x 2 x 199
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(174, 198) = 5742
GCD(174, 198) = ( 174 x 198 ) / 5742
GCD(174, 198) = 34452 / 5742
GCD(174, 198) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 53) = 318
GCD(6, 53) = ( 6 x 53 ) / 318
GCD(6, 53) = 318 / 318
GCD(6, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
GCD of 174, 198, 53, 796 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 198, 53, 796?
GCD of 174, 198, 53, 796 is 1
2. Where do I get the detailed procedure to find GCD of 174, 198, 53, 796?
You can find a detailed procedure to find GCD of 174, 198, 53, 796 on our page.
3. How to find GCD of 174, 198, 53, 796 on a calculator?
You can find the GCD of 174, 198, 53, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.