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 990, 505, 38, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 505, 38, 434 is 1
GCD(990, 505, 38, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 505, 38, 434 is 1
GCD(990, 505, 38, 434) = 1
Given Input numbers are 990, 505, 38, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 990, 505, 38, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 505, 38, 434 is 1.
Therefore, GCD of numbers 990, 505, 38, 434 is 1
Given Input Data is 990, 505, 38, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 505 is 5 x 101
Prime Factorization of 38 is 2 x 19
Prime Factorization of 434 is 2 x 7 x 31
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(990, 505) = 99990
GCD(990, 505) = ( 990 x 505 ) / 99990
GCD(990, 505) = 499950 / 99990
GCD(990, 505) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 38) = 190
GCD(5, 38) = ( 5 x 38 ) / 190
GCD(5, 38) = 190 / 190
GCD(5, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 990, 505, 38, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 505, 38, 434?
GCD of 990, 505, 38, 434 is 1
2. Where do I get the detailed procedure to find GCD of 990, 505, 38, 434?
You can find a detailed procedure to find GCD of 990, 505, 38, 434 on our page.
3. How to find GCD of 990, 505, 38, 434 on a calculator?
You can find the GCD of 990, 505, 38, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.