GCD of 489, 115, 616 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 489, 115, 616 quickly. Get the easiest ways to solve the greatest common divisor of 489, 115, 616 i.e 1 in different methods as follows.
Given Input numbers are 489, 115, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (489, 115, 616) = 1.
Given numbers are 489, 115, 616
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 115 are 5 x 23
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 489, 115, 616 using LCM Formula
Given numbers are 489, 115, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 115) = 56235
GCD(489, 115) = ( 489 x 115 ) / 56235
= 489 / 115
= 489
Step2:
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
= 1 / 616
= 1
So, Greatest Common Divisor of 489, 115, 616 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 489, 115, 616
Given numbers are 489, 115, 616
The greatest common divisor of numbers 489, 115, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 115, 616 is 1.
FAQs on GCD of 489, 115, 616 Calculator
1. What is the GCD of 489, 115, 616?
GCD of given numbers 489, 115, 616 is 1
2. How to calculate the greatest common divisor of 489, 115, 616?
We can find the highest common divisor of 489, 115, 616 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 489, 115, 616 i.e 1.
3. How can I use the GCD of 489, 115, 616Calculator?
Out the numbers 489, 115, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.