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 574, 418, 50, 464 i.e. 2 largest integer that divides all the numbers equally.
GCD of 574, 418, 50, 464 is 2
GCD(574, 418, 50, 464) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 418, 50, 464 is 2
GCD(574, 418, 50, 464) = 2
Given Input numbers are 574, 418, 50, 464
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 574, 418, 50, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 418, 50, 464 is 2.
Therefore, GCD of numbers 574, 418, 50, 464 is 2
Given Input Data is 574, 418, 50, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(574, 418) = 119966
GCD(574, 418) = ( 574 x 418 ) / 119966
GCD(574, 418) = 239932 / 119966
GCD(574, 418) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
GCD(2, 464) = 928 / 464
GCD(2, 464) = 2
GCD of 574, 418, 50, 464 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 418, 50, 464?
GCD of 574, 418, 50, 464 is 2
2. Where do I get the detailed procedure to find GCD of 574, 418, 50, 464?
You can find a detailed procedure to find GCD of 574, 418, 50, 464 on our page.
3. How to find GCD of 574, 418, 50, 464 on a calculator?
You can find the GCD of 574, 418, 50, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.