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 474, 505, 20, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 505, 20, 199 is 1
GCD(474, 505, 20, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 505, 20, 199 is 1
GCD(474, 505, 20, 199) = 1
Given Input numbers are 474, 505, 20, 199
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 474, 505, 20, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 505, 20, 199 is 1.
Therefore, GCD of numbers 474, 505, 20, 199 is 1
Given Input Data is 474, 505, 20, 199
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 505 is 5 x 101
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 199 is 199
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(474, 505) = 239370
GCD(474, 505) = ( 474 x 505 ) / 239370
GCD(474, 505) = 239370 / 239370
GCD(474, 505) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 474, 505, 20, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 505, 20, 199?
GCD of 474, 505, 20, 199 is 1
2. Where do I get the detailed procedure to find GCD of 474, 505, 20, 199?
You can find a detailed procedure to find GCD of 474, 505, 20, 199 on our page.
3. How to find GCD of 474, 505, 20, 199 on a calculator?
You can find the GCD of 474, 505, 20, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.