GCD of 324, 342, 58 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 324, 342, 58 quickly. Get the easiest ways to solve the greatest common divisor of 324, 342, 58 i.e 2 in different methods as follows.
Given Input numbers are 324, 342, 58
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
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 58 :
The positive integer divisors of 58 that completely divides 58 are.
1, 2, 29, 58
GCD of numbers is the greatest common divisor
So, the GCD (324, 342, 58) = 2.
Given numbers are 324, 342, 58
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 58 are 2 x 29
The highest common occurrence is 21
Therefore, GCD of 324, 342, 58 is 2.
Steps to Calculate GCD of 324, 342, 58 using LCM Formula
Given numbers are 324, 342, 58
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 342) = 6156
GCD(324, 342) = ( 324 x 342 ) / 6156
= 324 / 342
= 324
Step2:
LCM(18, 58) = 522
GCD(18, 58) = ( 18 x 58 ) / 522
= 18 / 58
= 18
So, Greatest Common Divisor of 324, 342, 58 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 324, 342, 58
Given numbers are 324, 342, 58
The greatest common divisor of numbers 324, 342, 58 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 342, 58 is 2.
FAQs on GCD of 324, 342, 58 Calculator
1. What is the GCD of 324, 342, 58?
GCD of given numbers 324, 342, 58 is 2
2. How to calculate the greatest common divisor of 324, 342, 58?
We can find the highest common divisor of 324, 342, 58 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 324, 342, 58 i.e 2.
3. How can I use the GCD of 324, 342, 58Calculator?
Out the numbers 324, 342, 58 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.