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 28, 198, 201, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 198, 201, 242 is 1
GCD(28, 198, 201, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 198, 201, 242 is 1
GCD(28, 198, 201, 242) = 1
Given Input numbers are 28, 198, 201, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 28, 198, 201, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 198, 201, 242 is 1.
Therefore, GCD of numbers 28, 198, 201, 242 is 1
Given Input Data is 28, 198, 201, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 201 is 3 x 67
Prime Factorization of 242 is 2 x 11 x 11
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(28, 198) = 2772
GCD(28, 198) = ( 28 x 198 ) / 2772
GCD(28, 198) = 5544 / 2772
GCD(28, 198) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 201) = 402
GCD(2, 201) = ( 2 x 201 ) / 402
GCD(2, 201) = 402 / 402
GCD(2, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 28, 198, 201, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 198, 201, 242?
GCD of 28, 198, 201, 242 is 1
2. Where do I get the detailed procedure to find GCD of 28, 198, 201, 242?
You can find a detailed procedure to find GCD of 28, 198, 201, 242 on our page.
3. How to find GCD of 28, 198, 201, 242 on a calculator?
You can find the GCD of 28, 198, 201, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.