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 526, 684, 17 i.e. 1 largest integer that divides all the numbers equally.
GCD of 526, 684, 17 is 1
GCD(526, 684, 17) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 526, 684, 17 is 1
GCD(526, 684, 17) = 1
Given Input numbers are 526, 684, 17
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
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 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Greatest Common Divisior
We found the divisors of 526, 684, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 684, 17 is 1.
Therefore, GCD of numbers 526, 684, 17 is 1
Given Input Data is 526, 684, 17
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 526 is 2 x 263
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 17 is 17
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(526, 684) = 179892
GCD(526, 684) = ( 526 x 684 ) / 179892
GCD(526, 684) = 359784 / 179892
GCD(526, 684) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 17) = 34
GCD(2, 17) = ( 2 x 17 ) / 34
GCD(2, 17) = 34 / 34
GCD(2, 17) = 1
GCD of 526, 684, 17 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 526, 684, 17?
GCD of 526, 684, 17 is 1
2. Where do I get the detailed procedure to find GCD of 526, 684, 17?
You can find a detailed procedure to find GCD of 526, 684, 17 on our page.
3. How to find GCD of 526, 684, 17 on a calculator?
You can find the GCD of 526, 684, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.