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 18, 315, 930, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 315, 930, 434 is 1
GCD(18, 315, 930, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 315, 930, 434 is 1
GCD(18, 315, 930, 434) = 1
Given Input numbers are 18, 315, 930, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
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 18, 315, 930, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 315, 930, 434 is 1.
Therefore, GCD of numbers 18, 315, 930, 434 is 1
Given Input Data is 18, 315, 930, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 930 is 2 x 3 x 5 x 31
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(18, 315) = 630
GCD(18, 315) = ( 18 x 315 ) / 630
GCD(18, 315) = 5670 / 630
GCD(18, 315) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 930) = 2790
GCD(9, 930) = ( 9 x 930 ) / 2790
GCD(9, 930) = 8370 / 2790
GCD(9, 930) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 434) = 1302
GCD(3, 434) = ( 3 x 434 ) / 1302
GCD(3, 434) = 1302 / 1302
GCD(3, 434) = 1
GCD of 18, 315, 930, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 315, 930, 434?
GCD of 18, 315, 930, 434 is 1
2. Where do I get the detailed procedure to find GCD of 18, 315, 930, 434?
You can find a detailed procedure to find GCD of 18, 315, 930, 434 on our page.
3. How to find GCD of 18, 315, 930, 434 on a calculator?
You can find the GCD of 18, 315, 930, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.