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 368, 217, 33, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 217, 33, 116 is 1
GCD(368, 217, 33, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 217, 33, 116 is 1
GCD(368, 217, 33, 116) = 1
Given Input numbers are 368, 217, 33, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 368, 217, 33, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 217, 33, 116 is 1.
Therefore, GCD of numbers 368, 217, 33, 116 is 1
Given Input Data is 368, 217, 33, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 217 is 7 x 31
Prime Factorization of 33 is 3 x 11
Prime Factorization of 116 is 2 x 2 x 29
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(368, 217) = 79856
GCD(368, 217) = ( 368 x 217 ) / 79856
GCD(368, 217) = 79856 / 79856
GCD(368, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 368, 217, 33, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 217, 33, 116?
GCD of 368, 217, 33, 116 is 1
2. Where do I get the detailed procedure to find GCD of 368, 217, 33, 116?
You can find a detailed procedure to find GCD of 368, 217, 33, 116 on our page.
3. How to find GCD of 368, 217, 33, 116 on a calculator?
You can find the GCD of 368, 217, 33, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.