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 16, 342, 458, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 342, 458, 343 is 1
GCD(16, 342, 458, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 342, 458, 343 is 1
GCD(16, 342, 458, 343) = 1
Given Input numbers are 16, 342, 458, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
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 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 16, 342, 458, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 342, 458, 343 is 1.
Therefore, GCD of numbers 16, 342, 458, 343 is 1
Given Input Data is 16, 342, 458, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 458 is 2 x 229
Prime Factorization of 343 is 7 x 7 x 7
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(16, 342) = 2736
GCD(16, 342) = ( 16 x 342 ) / 2736
GCD(16, 342) = 5472 / 2736
GCD(16, 342) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 458) = 458
GCD(2, 458) = ( 2 x 458 ) / 458
GCD(2, 458) = 916 / 458
GCD(2, 458) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
GCD(2, 343) = 686 / 686
GCD(2, 343) = 1
GCD of 16, 342, 458, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 342, 458, 343?
GCD of 16, 342, 458, 343 is 1
2. Where do I get the detailed procedure to find GCD of 16, 342, 458, 343?
You can find a detailed procedure to find GCD of 16, 342, 458, 343 on our page.
3. How to find GCD of 16, 342, 458, 343 on a calculator?
You can find the GCD of 16, 342, 458, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.