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 265, 684, 15, 806 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 684, 15, 806 is 1
GCD(265, 684, 15, 806) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 684, 15, 806 is 1
GCD(265, 684, 15, 806) = 1
Given Input numbers are 265, 684, 15, 806
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Greatest Common Divisior
We found the divisors of 265, 684, 15, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 684, 15, 806 is 1.
Therefore, GCD of numbers 265, 684, 15, 806 is 1
Given Input Data is 265, 684, 15, 806
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 15 is 3 x 5
Prime Factorization of 806 is 2 x 13 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(265, 684) = 181260
GCD(265, 684) = ( 265 x 684 ) / 181260
GCD(265, 684) = 181260 / 181260
GCD(265, 684) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 806
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 806) = 806
GCD(1, 806) = ( 1 x 806 ) / 806
GCD(1, 806) = 806 / 806
GCD(1, 806) = 1
GCD of 265, 684, 15, 806 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 684, 15, 806?
GCD of 265, 684, 15, 806 is 1
2. Where do I get the detailed procedure to find GCD of 265, 684, 15, 806?
You can find a detailed procedure to find GCD of 265, 684, 15, 806 on our page.
3. How to find GCD of 265, 684, 15, 806 on a calculator?
You can find the GCD of 265, 684, 15, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.