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GCD of 486, 431, 17 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 486, 431, 17 quickly. Get the easiest ways to solve the greatest common divisor of 486, 431, 17 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 486, 431, 17 with Factoring?

Given Input numbers are 486, 431, 17

In the factoring method, we have to find the divisors of all numbers

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

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 (486, 431, 17) = 1.

Find GCD of 486, 431, 17 using Prime Factorization

Given numbers are 486, 431, 17

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 431 are 431

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 486, 431, 17 using LCM Formula

Given numbers are 486, 431, 17

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(486, 431) = 209466

GCD(486, 431) = ( 486 x 431 ) / 209466

= 486 / 431

= 486


Step2:

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

= 1 / 17

= 1


So, Greatest Common Divisor of 486, 431, 17 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 486, 431, 17

Given numbers are 486, 431, 17
The greatest common divisor of numbers 486, 431, 17 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 431, 17 is 1.

FAQs on GCD of 486, 431, 17 Calculator

1. What is the GCD of 486, 431, 17?

GCD of given numbers 486, 431, 17 is 1


2. How to calculate the greatest common divisor of 486, 431, 17?

We can find the highest common divisor of 486, 431, 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 486, 431, 17 i.e 1.


3. How can I use the GCD of 486, 431, 17Calculator?

Out the numbers 486, 431, 17 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.