GCD of 489, 456, 657 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 489, 456, 657 quickly. Get the easiest ways to solve the greatest common divisor of 489, 456, 657 i.e 3 in different methods as follows.
Given Input numbers are 489, 456, 657
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 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
GCD of numbers is the greatest common divisor
So, the GCD (489, 456, 657) = 3.
Given numbers are 489, 456, 657
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 657 are 3 x 3 x 73
The highest common occurrence is 31
Therefore, GCD of 489, 456, 657 is 3.
Steps to Calculate GCD of 489, 456, 657 using LCM Formula
Given numbers are 489, 456, 657
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 456) = 74328
GCD(489, 456) = ( 489 x 456 ) / 74328
= 489 / 456
= 489
Step2:
LCM(3, 657) = 657
GCD(3, 657) = ( 3 x 657 ) / 657
= 3 / 657
= 3
So, Greatest Common Divisor of 489, 456, 657 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 489, 456, 657
Given numbers are 489, 456, 657
The greatest common divisor of numbers 489, 456, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 456, 657 is 3.
FAQs on GCD of 489, 456, 657 Calculator
1. What is the GCD of 489, 456, 657?
GCD of given numbers 489, 456, 657 is 3
2. How to calculate the greatest common divisor of 489, 456, 657?
We can find the highest common divisor of 489, 456, 657 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, 456, 657 i.e 3.
3. How can I use the GCD of 489, 456, 657Calculator?
Out the numbers 489, 456, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.