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 304, 963, 51, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 963, 51, 413 is 1
GCD(304, 963, 51, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 963, 51, 413 is 1
GCD(304, 963, 51, 413) = 1
Given Input numbers are 304, 963, 51, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 304, 963, 51, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 963, 51, 413 is 1.
Therefore, GCD of numbers 304, 963, 51, 413 is 1
Given Input Data is 304, 963, 51, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 51 is 3 x 17
Prime Factorization of 413 is 7 x 59
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(304, 963) = 292752
GCD(304, 963) = ( 304 x 963 ) / 292752
GCD(304, 963) = 292752 / 292752
GCD(304, 963) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
GCD of 304, 963, 51, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 963, 51, 413?
GCD of 304, 963, 51, 413 is 1
2. Where do I get the detailed procedure to find GCD of 304, 963, 51, 413?
You can find a detailed procedure to find GCD of 304, 963, 51, 413 on our page.
3. How to find GCD of 304, 963, 51, 413 on a calculator?
You can find the GCD of 304, 963, 51, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.