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 304, 352, 41, 342 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 352, 41, 342 is 1
GCD(304, 352, 41, 342) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 352, 41, 342 is 1
GCD(304, 352, 41, 342) = 1
Given Input numbers are 304, 352, 41, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
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
Greatest Common Divisior
We found the divisors of 304, 352, 41, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 352, 41, 342 is 1.
Therefore, GCD of numbers 304, 352, 41, 342 is 1
Given Input Data is 304, 352, 41, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 41 is 41
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(304, 352) = 6688
GCD(304, 352) = ( 304 x 352 ) / 6688
GCD(304, 352) = 107008 / 6688
GCD(304, 352) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 41) = 656
GCD(16, 41) = ( 16 x 41 ) / 656
GCD(16, 41) = 656 / 656
GCD(16, 41) = 1
Step3:
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
GCD of 304, 352, 41, 342 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 352, 41, 342?
GCD of 304, 352, 41, 342 is 1
2. Where do I get the detailed procedure to find GCD of 304, 352, 41, 342?
You can find a detailed procedure to find GCD of 304, 352, 41, 342 on our page.
3. How to find GCD of 304, 352, 41, 342 on a calculator?
You can find the GCD of 304, 352, 41, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.