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 433, 198, 42, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 433, 198, 42, 106 is 1
GCD(433, 198, 42, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 433, 198, 42, 106 is 1
GCD(433, 198, 42, 106) = 1
Given Input numbers are 433, 198, 42, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
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 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 433, 198, 42, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 198, 42, 106 is 1.
Therefore, GCD of numbers 433, 198, 42, 106 is 1
Given Input Data is 433, 198, 42, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 433 is 433
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 106 is 2 x 53
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(433, 198) = 85734
GCD(433, 198) = ( 433 x 198 ) / 85734
GCD(433, 198) = 85734 / 85734
GCD(433, 198) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 433, 198, 42, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 433, 198, 42, 106?
GCD of 433, 198, 42, 106 is 1
2. Where do I get the detailed procedure to find GCD of 433, 198, 42, 106?
You can find a detailed procedure to find GCD of 433, 198, 42, 106 on our page.
3. How to find GCD of 433, 198, 42, 106 on a calculator?
You can find the GCD of 433, 198, 42, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.