GCD of 105, 576, 342 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 576, 342 quickly. Get the easiest ways to solve the greatest common divisor of 105, 576, 342 i.e 3 in different methods as follows.
Given Input numbers are 105, 576, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
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
GCD of numbers is the greatest common divisor
So, the GCD (105, 576, 342) = 3.
Given numbers are 105, 576, 342
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 105, 576, 342 is 3.
Steps to Calculate GCD of 105, 576, 342 using LCM Formula
Given numbers are 105, 576, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 576) = 20160
GCD(105, 576) = ( 105 x 576 ) / 20160
= 105 / 576
= 105
Step2:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
So, Greatest Common Divisor of 105, 576, 342 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 576, 342
Given numbers are 105, 576, 342
The greatest common divisor of numbers 105, 576, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 576, 342 is 3.
FAQs on GCD of 105, 576, 342 Calculator
1. What is the GCD of 105, 576, 342?
GCD of given numbers 105, 576, 342 is 3
2. How to calculate the greatest common divisor of 105, 576, 342?
We can find the highest common divisor of 105, 576, 342 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 105, 576, 342 i.e 3.
3. How can I use the GCD of 105, 576, 342Calculator?
Out the numbers 105, 576, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.