GCD of 765, 432, 459 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 765, 432, 459 quickly. Get the easiest ways to solve the greatest common divisor of 765, 432, 459 i.e 9 in different methods as follows.
Given Input numbers are 765, 432, 459
In the factoring method, we have to find the divisors of all numbers
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
GCD of numbers is the greatest common divisor
So, the GCD (765, 432, 459) = 9.
Given numbers are 765, 432, 459
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 459 are 3 x 3 x 3 x 17
The highest common occurrence is 32
Therefore, GCD of 765, 432, 459 is 9.
Steps to Calculate GCD of 765, 432, 459 using LCM Formula
Given numbers are 765, 432, 459
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 432) = 36720
GCD(765, 432) = ( 765 x 432 ) / 36720
= 765 / 432
= 765
Step2:
LCM(9, 459) = 459
GCD(9, 459) = ( 9 x 459 ) / 459
= 9 / 459
= 9
So, Greatest Common Divisor of 765, 432, 459 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 765, 432, 459
Given numbers are 765, 432, 459
The greatest common divisor of numbers 765, 432, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 432, 459 is 9.
FAQs on GCD of 765, 432, 459 Calculator
1. What is the GCD of 765, 432, 459?
GCD of given numbers 765, 432, 459 is 9
2. How to calculate the greatest common divisor of 765, 432, 459?
We can find the highest common divisor of 765, 432, 459 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 765, 432, 459 i.e 9.
3. How can I use the GCD of 765, 432, 459Calculator?
Out the numbers 765, 432, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.