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 198, 401, 178, 607 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 401, 178, 607 is 1
GCD(198, 401, 178, 607) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 401, 178, 607 is 1
GCD(198, 401, 178, 607) = 1
Given Input numbers are 198, 401, 178, 607
To find the GCD of numbers using factoring list out all the divisors of each number
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 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Greatest Common Divisior
We found the divisors of 198, 401, 178, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 401, 178, 607 is 1.
Therefore, GCD of numbers 198, 401, 178, 607 is 1
Given Input Data is 198, 401, 178, 607
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 401 is 401
Prime Factorization of 178 is 2 x 89
Prime Factorization of 607 is 607
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(198, 401) = 79398
GCD(198, 401) = ( 198 x 401 ) / 79398
GCD(198, 401) = 79398 / 79398
GCD(198, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 607) = 607
GCD(1, 607) = ( 1 x 607 ) / 607
GCD(1, 607) = 607 / 607
GCD(1, 607) = 1
GCD of 198, 401, 178, 607 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 401, 178, 607?
GCD of 198, 401, 178, 607 is 1
2. Where do I get the detailed procedure to find GCD of 198, 401, 178, 607?
You can find a detailed procedure to find GCD of 198, 401, 178, 607 on our page.
3. How to find GCD of 198, 401, 178, 607 on a calculator?
You can find the GCD of 198, 401, 178, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.