GCD of 522, 648, 198 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 522, 648, 198 quickly. Get the easiest ways to solve the greatest common divisor of 522, 648, 198 i.e 18 in different methods as follows.
Given Input numbers are 522, 648, 198
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 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (522, 648, 198) = 18.
Given numbers are 522, 648, 198
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21 x 32
Therefore, GCD of 522, 648, 198 is 18.
Steps to Calculate GCD of 522, 648, 198 using LCM Formula
Given numbers are 522, 648, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 648) = 18792
GCD(522, 648) = ( 522 x 648 ) / 18792
= 522 / 648
= 522
Step2:
LCM(18, 198) = 198
GCD(18, 198) = ( 18 x 198 ) / 198
= 18 / 198
= 18
So, Greatest Common Divisor of 522, 648, 198 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 522, 648, 198
Given numbers are 522, 648, 198
The greatest common divisor of numbers 522, 648, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 648, 198 is 18.
FAQs on GCD of 522, 648, 198 Calculator
1. What is the GCD of 522, 648, 198?
GCD of given numbers 522, 648, 198 is 18
2. How to calculate the greatest common divisor of 522, 648, 198?
We can find the highest common divisor of 522, 648, 198 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, 648, 198 i.e 18.
3. How can I use the GCD of 522, 648, 198Calculator?
Out the numbers 522, 648, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.