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, 305, 922, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 305, 922, 436 is 1
GCD(368, 305, 922, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 305, 922, 436 is 1
GCD(368, 305, 922, 436) = 1
Given Input numbers are 368, 305, 922, 436
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 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 368, 305, 922, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 305, 922, 436 is 1.
Therefore, GCD of numbers 368, 305, 922, 436 is 1
Given Input Data is 368, 305, 922, 436
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 305 is 5 x 61
Prime Factorization of 922 is 2 x 461
Prime Factorization of 436 is 2 x 2 x 109
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, 305) = 112240
GCD(368, 305) = ( 368 x 305 ) / 112240
GCD(368, 305) = 112240 / 112240
GCD(368, 305) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 368, 305, 922, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 305, 922, 436?
GCD of 368, 305, 922, 436 is 1
2. Where do I get the detailed procedure to find GCD of 368, 305, 922, 436?
You can find a detailed procedure to find GCD of 368, 305, 922, 436 on our page.
3. How to find GCD of 368, 305, 922, 436 on a calculator?
You can find the GCD of 368, 305, 922, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.