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 308, 913, 50, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 913, 50, 474 is 1
GCD(308, 913, 50, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 913, 50, 474 is 1
GCD(308, 913, 50, 474) = 1
Given Input numbers are 308, 913, 50, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 308, 913, 50, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 913, 50, 474 is 1.
Therefore, GCD of numbers 308, 913, 50, 474 is 1
Given Input Data is 308, 913, 50, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 913 is 11 x 83
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 474 is 2 x 3 x 79
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(308, 913) = 25564
GCD(308, 913) = ( 308 x 913 ) / 25564
GCD(308, 913) = 281204 / 25564
GCD(308, 913) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 50) = 550
GCD(11, 50) = ( 11 x 50 ) / 550
GCD(11, 50) = 550 / 550
GCD(11, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
GCD of 308, 913, 50, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 913, 50, 474?
GCD of 308, 913, 50, 474 is 1
2. Where do I get the detailed procedure to find GCD of 308, 913, 50, 474?
You can find a detailed procedure to find GCD of 308, 913, 50, 474 on our page.
3. How to find GCD of 308, 913, 50, 474 on a calculator?
You can find the GCD of 308, 913, 50, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.