GCD of 426, 105, 324 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 426, 105, 324 quickly. Get the easiest ways to solve the greatest common divisor of 426, 105, 324 i.e 3 in different methods as follows.
Given Input numbers are 426, 105, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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
GCD of numbers is the greatest common divisor
So, the GCD (426, 105, 324) = 3.
Given numbers are 426, 105, 324
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 105 are 3 x 5 x 7
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 426, 105, 324 is 3.
Steps to Calculate GCD of 426, 105, 324 using LCM Formula
Given numbers are 426, 105, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 105) = 14910
GCD(426, 105) = ( 426 x 105 ) / 14910
= 426 / 105
= 426
Step2:
LCM(3, 324) = 324
GCD(3, 324) = ( 3 x 324 ) / 324
= 3 / 324
= 3
So, Greatest Common Divisor of 426, 105, 324 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 426, 105, 324
Given numbers are 426, 105, 324
The greatest common divisor of numbers 426, 105, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 105, 324 is 3.
FAQs on GCD of 426, 105, 324 Calculator
1. What is the GCD of 426, 105, 324?
GCD of given numbers 426, 105, 324 is 3
2. How to calculate the greatest common divisor of 426, 105, 324?
We can find the highest common divisor of 426, 105, 324 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 426, 105, 324 i.e 3.
3. How can I use the GCD of 426, 105, 324Calculator?
Out the numbers 426, 105, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.