GCD of 363, 810, 495 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 363, 810, 495 quickly. Get the easiest ways to solve the greatest common divisor of 363, 810, 495 i.e 3 in different methods as follows.
Given Input numbers are 363, 810, 495
In the factoring method, we have to find the divisors of all numbers
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
GCD of numbers is the greatest common divisor
So, the GCD (363, 810, 495) = 3.
Given numbers are 363, 810, 495
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 495 are 3 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 363, 810, 495 is 3.
Steps to Calculate GCD of 363, 810, 495 using LCM Formula
Given numbers are 363, 810, 495
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 810) = 98010
GCD(363, 810) = ( 363 x 810 ) / 98010
= 363 / 810
= 363
Step2:
LCM(3, 495) = 495
GCD(3, 495) = ( 3 x 495 ) / 495
= 3 / 495
= 3
So, Greatest Common Divisor of 363, 810, 495 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 363, 810, 495
Given numbers are 363, 810, 495
The greatest common divisor of numbers 363, 810, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 810, 495 is 3.
FAQs on GCD of 363, 810, 495 Calculator
1. What is the GCD of 363, 810, 495?
GCD of given numbers 363, 810, 495 is 3
2. How to calculate the greatest common divisor of 363, 810, 495?
We can find the highest common divisor of 363, 810, 495 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 363, 810, 495 i.e 3.
3. How can I use the GCD of 363, 810, 495Calculator?
Out the numbers 363, 810, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.