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 316, 930, 518, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 930, 518, 635 is 1
GCD(316, 930, 518, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 930, 518, 635 is 1
GCD(316, 930, 518, 635) = 1
Given Input numbers are 316, 930, 518, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
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 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 316, 930, 518, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 930, 518, 635 is 1.
Therefore, GCD of numbers 316, 930, 518, 635 is 1
Given Input Data is 316, 930, 518, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 635 is 5 x 127
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(316, 930) = 146940
GCD(316, 930) = ( 316 x 930 ) / 146940
GCD(316, 930) = 293880 / 146940
GCD(316, 930) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 518) = 518
GCD(2, 518) = ( 2 x 518 ) / 518
GCD(2, 518) = 1036 / 518
GCD(2, 518) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 635) = 1270
GCD(2, 635) = ( 2 x 635 ) / 1270
GCD(2, 635) = 1270 / 1270
GCD(2, 635) = 1
GCD of 316, 930, 518, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 930, 518, 635?
GCD of 316, 930, 518, 635 is 1
2. Where do I get the detailed procedure to find GCD of 316, 930, 518, 635?
You can find a detailed procedure to find GCD of 316, 930, 518, 635 on our page.
3. How to find GCD of 316, 930, 518, 635 on a calculator?
You can find the GCD of 316, 930, 518, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.