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 31, 198, 342, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 198, 342, 451 is 1
GCD(31, 198, 342, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 198, 342, 451 is 1
GCD(31, 198, 342, 451) = 1
Given Input numbers are 31, 198, 342, 451
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
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 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Greatest Common Divisior
We found the divisors of 31, 198, 342, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 198, 342, 451 is 1.
Therefore, GCD of numbers 31, 198, 342, 451 is 1
Given Input Data is 31, 198, 342, 451
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 451 is 11 x 41
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(31, 198) = 6138
GCD(31, 198) = ( 31 x 198 ) / 6138
GCD(31, 198) = 6138 / 6138
GCD(31, 198) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 451) = 451
GCD(1, 451) = ( 1 x 451 ) / 451
GCD(1, 451) = 451 / 451
GCD(1, 451) = 1
GCD of 31, 198, 342, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 198, 342, 451?
GCD of 31, 198, 342, 451 is 1
2. Where do I get the detailed procedure to find GCD of 31, 198, 342, 451?
You can find a detailed procedure to find GCD of 31, 198, 342, 451 on our page.
3. How to find GCD of 31, 198, 342, 451 on a calculator?
You can find the GCD of 31, 198, 342, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.