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 50, 491, 318, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 491, 318, 384 is 1
GCD(50, 491, 318, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 491, 318, 384 is 1
GCD(50, 491, 318, 384) = 1
Given Input numbers are 50, 491, 318, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 50, 491, 318, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 491, 318, 384 is 1.
Therefore, GCD of numbers 50, 491, 318, 384 is 1
Given Input Data is 50, 491, 318, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 491 is 491
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(50, 491) = 24550
GCD(50, 491) = ( 50 x 491 ) / 24550
GCD(50, 491) = 24550 / 24550
GCD(50, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 50, 491, 318, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 491, 318, 384?
GCD of 50, 491, 318, 384 is 1
2. Where do I get the detailed procedure to find GCD of 50, 491, 318, 384?
You can find a detailed procedure to find GCD of 50, 491, 318, 384 on our page.
3. How to find GCD of 50, 491, 318, 384 on a calculator?
You can find the GCD of 50, 491, 318, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.