GCD of 342, 204, 249 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 342, 204, 249 quickly. Get the easiest ways to solve the greatest common divisor of 342, 204, 249 i.e 3 in different methods as follows.
Given Input numbers are 342, 204, 249
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (342, 204, 249) = 3.
Given numbers are 342, 204, 249
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 249 are 3 x 83
The highest common occurrence is 31
Therefore, GCD of 342, 204, 249 is 3.
Steps to Calculate GCD of 342, 204, 249 using LCM Formula
Given numbers are 342, 204, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 204) = 11628
GCD(342, 204) = ( 342 x 204 ) / 11628
= 342 / 204
= 342
Step2:
LCM(6, 249) = 498
GCD(6, 249) = ( 6 x 249 ) / 498
= 6 / 249
= 6
So, Greatest Common Divisor of 342, 204, 249 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 342, 204, 249
Given numbers are 342, 204, 249
The greatest common divisor of numbers 342, 204, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 204, 249 is 3.
FAQs on GCD of 342, 204, 249 Calculator
1. What is the GCD of 342, 204, 249?
GCD of given numbers 342, 204, 249 is 3
2. How to calculate the greatest common divisor of 342, 204, 249?
We can find the highest common divisor of 342, 204, 249 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 342, 204, 249 i.e 3.
3. How can I use the GCD of 342, 204, 249Calculator?
Out the numbers 342, 204, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.