GCD of 363, 204, 279 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 363, 204, 279 quickly. Get the easiest ways to solve the greatest common divisor of 363, 204, 279 i.e 3 in different methods as follows.
Given Input numbers are 363, 204, 279
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 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
GCD of numbers is the greatest common divisor
So, the GCD (363, 204, 279) = 3.
Given numbers are 363, 204, 279
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 279 are 3 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 363, 204, 279 is 3.
Steps to Calculate GCD of 363, 204, 279 using LCM Formula
Given numbers are 363, 204, 279
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 204) = 24684
GCD(363, 204) = ( 363 x 204 ) / 24684
= 363 / 204
= 363
Step2:
LCM(3, 279) = 279
GCD(3, 279) = ( 3 x 279 ) / 279
= 3 / 279
= 3
So, Greatest Common Divisor of 363, 204, 279 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 363, 204, 279
Given numbers are 363, 204, 279
The greatest common divisor of numbers 363, 204, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 204, 279 is 3.
FAQs on GCD of 363, 204, 279 Calculator
1. What is the GCD of 363, 204, 279?
GCD of given numbers 363, 204, 279 is 3
2. How to calculate the greatest common divisor of 363, 204, 279?
We can find the highest common divisor of 363, 204, 279 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, 204, 279 i.e 3.
3. How can I use the GCD of 363, 204, 279Calculator?
Out the numbers 363, 204, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.