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, 963, 41, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 963, 41, 921 is 1
GCD(368, 963, 41, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 963, 41, 921 is 1
GCD(368, 963, 41, 921) = 1
Given Input numbers are 368, 963, 41, 921
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 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 368, 963, 41, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 963, 41, 921 is 1.
Therefore, GCD of numbers 368, 963, 41, 921 is 1
Given Input Data is 368, 963, 41, 921
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 963 is 3 x 3 x 107
Prime Factorization of 41 is 41
Prime Factorization of 921 is 3 x 307
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, 963) = 354384
GCD(368, 963) = ( 368 x 963 ) / 354384
GCD(368, 963) = 354384 / 354384
GCD(368, 963) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 368, 963, 41, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 963, 41, 921?
GCD of 368, 963, 41, 921 is 1
2. Where do I get the detailed procedure to find GCD of 368, 963, 41, 921?
You can find a detailed procedure to find GCD of 368, 963, 41, 921 on our page.
3. How to find GCD of 368, 963, 41, 921 on a calculator?
You can find the GCD of 368, 963, 41, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.