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 30, 410, 198, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 410, 198, 167 is 1
GCD(30, 410, 198, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 410, 198, 167 is 1
GCD(30, 410, 198, 167) = 1
Given Input numbers are 30, 410, 198, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
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 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 30, 410, 198, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 410, 198, 167 is 1.
Therefore, GCD of numbers 30, 410, 198, 167 is 1
Given Input Data is 30, 410, 198, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 167 is 167
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(30, 410) = 1230
GCD(30, 410) = ( 30 x 410 ) / 1230
GCD(30, 410) = 12300 / 1230
GCD(30, 410) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 198) = 990
GCD(10, 198) = ( 10 x 198 ) / 990
GCD(10, 198) = 1980 / 990
GCD(10, 198) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 167) = 334
GCD(2, 167) = ( 2 x 167 ) / 334
GCD(2, 167) = 334 / 334
GCD(2, 167) = 1
GCD of 30, 410, 198, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 410, 198, 167?
GCD of 30, 410, 198, 167 is 1
2. Where do I get the detailed procedure to find GCD of 30, 410, 198, 167?
You can find a detailed procedure to find GCD of 30, 410, 198, 167 on our page.
3. How to find GCD of 30, 410, 198, 167 on a calculator?
You can find the GCD of 30, 410, 198, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.