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, 234, 901, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 234, 901, 205 is 1
GCD(368, 234, 901, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 234, 901, 205 is 1
GCD(368, 234, 901, 205) = 1
Given Input numbers are 368, 234, 901, 205
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 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 368, 234, 901, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 234, 901, 205 is 1.
Therefore, GCD of numbers 368, 234, 901, 205 is 1
Given Input Data is 368, 234, 901, 205
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 234 is 2 x 3 x 3 x 13
Prime Factorization of 901 is 17 x 53
Prime Factorization of 205 is 5 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(368, 234) = 43056
GCD(368, 234) = ( 368 x 234 ) / 43056
GCD(368, 234) = 86112 / 43056
GCD(368, 234) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 901) = 1802
GCD(2, 901) = ( 2 x 901 ) / 1802
GCD(2, 901) = 1802 / 1802
GCD(2, 901) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
GCD(1, 205) = 205 / 205
GCD(1, 205) = 1
GCD of 368, 234, 901, 205 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 234, 901, 205?
GCD of 368, 234, 901, 205 is 1
2. Where do I get the detailed procedure to find GCD of 368, 234, 901, 205?
You can find a detailed procedure to find GCD of 368, 234, 901, 205 on our page.
3. How to find GCD of 368, 234, 901, 205 on a calculator?
You can find the GCD of 368, 234, 901, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.