GCD of 206, 732, 17 Calculator
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 206, 732, 17 i.e. 1 largest integer that divides all the numbers equally.
GCD of 206, 732, 17 is 1
GCD(206, 732, 17) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 206, 732, 17 is 1
GCD(206, 732, 17) = 1
GCDof 206,732,17 is 1
Given Input numbers are 206, 732, 17
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 206, 732, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 732, 17 is 1.
Therefore, GCD of numbers 206, 732, 17 is 1
Given Input Data is 206, 732, 17
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 206 is 2 x 103
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 17 is 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 206, 732, 17 using LCM Formula
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(206, 732) = 75396
GCD(206, 732) = ( 206 x 732 ) / 75396
GCD(206, 732) = 150792 / 75396
GCD(206, 732) = 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 206, 732, 17 is 1
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FAQs on GCD of numbers 206, 732, 17
1. What is the GCD of 206, 732, 17?
GCD of 206, 732, 17 is 1
2. Where do I get the detailed procedure to find GCD of 206, 732, 17?
You can find a detailed procedure to find GCD of 206, 732, 17 on our page.
3. How to find GCD of 206, 732, 17 on a calculator?
You can find the GCD of 206, 732, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.