GCD of 499, 364, 17 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 499, 364, 17 quickly. Get the easiest ways to solve the greatest common divisor of 499, 364, 17 i.e 1 in different methods as follows.
Given Input numbers are 499, 364, 17
In the factoring method, we have to find the divisors of all numbers
Divisors of 499 :
The positive integer divisors of 499 that completely divides 499 are.
1, 499
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
GCD of numbers is the greatest common divisor
So, the GCD (499, 364, 17) = 1.
Given numbers are 499, 364, 17
The list of prime factors of all numbers are
Prime factors of 499 are 499
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 17 are 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 499, 364, 17 using LCM Formula
Given numbers are 499, 364, 17
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(499, 364) = 181636
GCD(499, 364) = ( 499 x 364 ) / 181636
= 499 / 364
= 499
Step2:
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
= 1 / 17
= 1
So, Greatest Common Divisor of 499, 364, 17 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 499, 364, 17
Given numbers are 499, 364, 17
The greatest common divisor of numbers 499, 364, 17 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 499, 364, 17 is 1.
FAQs on GCD of 499, 364, 17 Calculator
1. What is the GCD of 499, 364, 17?
GCD of given numbers 499, 364, 17 is 1
2. How to calculate the greatest common divisor of 499, 364, 17?
We can find the highest common divisor of 499, 364, 17 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 499, 364, 17 i.e 1.
3. How can I use the GCD of 499, 364, 17Calculator?
Out the numbers 499, 364, 17 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.