GCD of 489, 768, 196 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 489, 768, 196 quickly. Get the easiest ways to solve the greatest common divisor of 489, 768, 196 i.e 1 in different methods as follows.
Given Input numbers are 489, 768, 196
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 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (489, 768, 196) = 1.
Given numbers are 489, 768, 196
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 196 are 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 489, 768, 196 using LCM Formula
Given numbers are 489, 768, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 768) = 125184
GCD(489, 768) = ( 489 x 768 ) / 125184
= 489 / 768
= 489
Step2:
LCM(3, 196) = 588
GCD(3, 196) = ( 3 x 196 ) / 588
= 3 / 196
= 3
So, Greatest Common Divisor of 489, 768, 196 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 489, 768, 196
Given numbers are 489, 768, 196
The greatest common divisor of numbers 489, 768, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 768, 196 is 1.
FAQs on GCD of 489, 768, 196 Calculator
1. What is the GCD of 489, 768, 196?
GCD of given numbers 489, 768, 196 is 1
2. How to calculate the greatest common divisor of 489, 768, 196?
We can find the highest common divisor of 489, 768, 196 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, 768, 196 i.e 1.
3. How can I use the GCD of 489, 768, 196Calculator?
Out the numbers 489, 768, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.