GCD of 450, 342, 105 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 450, 342, 105 quickly. Get the easiest ways to solve the greatest common divisor of 450, 342, 105 i.e 3 in different methods as follows.
Given Input numbers are 450, 342, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (450, 342, 105) = 3.
Given numbers are 450, 342, 105
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 105 are 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 450, 342, 105 is 3.
Steps to Calculate GCD of 450, 342, 105 using LCM Formula
Given numbers are 450, 342, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 342) = 8550
GCD(450, 342) = ( 450 x 342 ) / 8550
= 450 / 342
= 450
Step2:
LCM(18, 105) = 630
GCD(18, 105) = ( 18 x 105 ) / 630
= 18 / 105
= 18
So, Greatest Common Divisor of 450, 342, 105 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 450, 342, 105
Given numbers are 450, 342, 105
The greatest common divisor of numbers 450, 342, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 342, 105 is 3.
FAQs on GCD of 450, 342, 105 Calculator
1. What is the GCD of 450, 342, 105?
GCD of given numbers 450, 342, 105 is 3
2. How to calculate the greatest common divisor of 450, 342, 105?
We can find the highest common divisor of 450, 342, 105 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 450, 342, 105 i.e 3.
3. How can I use the GCD of 450, 342, 105Calculator?
Out the numbers 450, 342, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.