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 336, 376, 17, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 376, 17, 868 is 1
GCD(336, 376, 17, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 376, 17, 868 is 1
GCD(336, 376, 17, 868) = 1
Given Input numbers are 336, 376, 17, 868
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 336, 376, 17, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 376, 17, 868 is 1.
Therefore, GCD of numbers 336, 376, 17, 868 is 1
Given Input Data is 336, 376, 17, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 17 is 17
Prime Factorization of 868 is 2 x 2 x 7 x 31
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(336, 376) = 15792
GCD(336, 376) = ( 336 x 376 ) / 15792
GCD(336, 376) = 126336 / 15792
GCD(336, 376) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 17) = 136
GCD(8, 17) = ( 8 x 17 ) / 136
GCD(8, 17) = 136 / 136
GCD(8, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
GCD of 336, 376, 17, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 376, 17, 868?
GCD of 336, 376, 17, 868 is 1
2. Where do I get the detailed procedure to find GCD of 336, 376, 17, 868?
You can find a detailed procedure to find GCD of 336, 376, 17, 868 on our page.
3. How to find GCD of 336, 376, 17, 868 on a calculator?
You can find the GCD of 336, 376, 17, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.