GCD of 765, 489, 996 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 765, 489, 996 quickly. Get the easiest ways to solve the greatest common divisor of 765, 489, 996 i.e 3 in different methods as follows.
Given Input numbers are 765, 489, 996
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 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (765, 489, 996) = 3.
Given numbers are 765, 489, 996
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 489 are 3 x 163
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 765, 489, 996 is 3.
Steps to Calculate GCD of 765, 489, 996 using LCM Formula
Given numbers are 765, 489, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 489) = 124695
GCD(765, 489) = ( 765 x 489 ) / 124695
= 765 / 489
= 765
Step2:
LCM(3, 996) = 996
GCD(3, 996) = ( 3 x 996 ) / 996
= 3 / 996
= 3
So, Greatest Common Divisor of 765, 489, 996 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 765, 489, 996
Given numbers are 765, 489, 996
The greatest common divisor of numbers 765, 489, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 489, 996 is 3.
FAQs on GCD of 765, 489, 996 Calculator
1. What is the GCD of 765, 489, 996?
GCD of given numbers 765, 489, 996 is 3
2. How to calculate the greatest common divisor of 765, 489, 996?
We can find the highest common divisor of 765, 489, 996 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, 489, 996 i.e 3.
3. How can I use the GCD of 765, 489, 996Calculator?
Out the numbers 765, 489, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.