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 930, 687, 13, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 930, 687, 13, 480 is 1
GCD(930, 687, 13, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 930, 687, 13, 480 is 1
GCD(930, 687, 13, 480) = 1
Given Input numbers are 930, 687, 13, 480
To find the GCD of numbers using factoring list out all the divisors of each number
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 930, 687, 13, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 687, 13, 480 is 1.
Therefore, GCD of numbers 930, 687, 13, 480 is 1
Given Input Data is 930, 687, 13, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 687 is 3 x 229
Prime Factorization of 13 is 13
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(930, 687) = 212970
GCD(930, 687) = ( 930 x 687 ) / 212970
GCD(930, 687) = 638910 / 212970
GCD(930, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 13) = 39
GCD(3, 13) = ( 3 x 13 ) / 39
GCD(3, 13) = 39 / 39
GCD(3, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 930, 687, 13, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 930, 687, 13, 480?
GCD of 930, 687, 13, 480 is 1
2. Where do I get the detailed procedure to find GCD of 930, 687, 13, 480?
You can find a detailed procedure to find GCD of 930, 687, 13, 480 on our page.
3. How to find GCD of 930, 687, 13, 480 on a calculator?
You can find the GCD of 930, 687, 13, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.