GCD of 522, 342, 450 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 522, 342, 450 quickly. Get the easiest ways to solve the greatest common divisor of 522, 342, 450 i.e 18 in different methods as follows.
Given Input numbers are 522, 342, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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 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
GCD of numbers is the greatest common divisor
So, the GCD (522, 342, 450) = 18.
Given numbers are 522, 342, 450
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21 x 32
Therefore, GCD of 522, 342, 450 is 18.
Steps to Calculate GCD of 522, 342, 450 using LCM Formula
Given numbers are 522, 342, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 342) = 9918
GCD(522, 342) = ( 522 x 342 ) / 9918
= 522 / 342
= 522
Step2:
LCM(18, 450) = 450
GCD(18, 450) = ( 18 x 450 ) / 450
= 18 / 450
= 18
So, Greatest Common Divisor of 522, 342, 450 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 522, 342, 450
Given numbers are 522, 342, 450
The greatest common divisor of numbers 522, 342, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 342, 450 is 18.
FAQs on GCD of 522, 342, 450 Calculator
1. What is the GCD of 522, 342, 450?
GCD of given numbers 522, 342, 450 is 18
2. How to calculate the greatest common divisor of 522, 342, 450?
We can find the highest common divisor of 522, 342, 450 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 522, 342, 450 i.e 18.
3. How can I use the GCD of 522, 342, 450Calculator?
Out the numbers 522, 342, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.