GCD of 198, 360, 600 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 198, 360, 600 quickly. Get the easiest ways to solve the greatest common divisor of 198, 360, 600 i.e 6 in different methods as follows.
Given Input numbers are 198, 360, 600
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (198, 360, 600) = 6.
Given numbers are 198, 360, 600
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 198, 360, 600 is 6.
Steps to Calculate GCD of 198, 360, 600 using LCM Formula
Given numbers are 198, 360, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 360) = 3960
GCD(198, 360) = ( 198 x 360 ) / 3960
= 198 / 360
= 198
Step2:
LCM(18, 600) = 1800
GCD(18, 600) = ( 18 x 600 ) / 1800
= 18 / 600
= 18
So, Greatest Common Divisor of 198, 360, 600 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 198, 360, 600
Given numbers are 198, 360, 600
The greatest common divisor of numbers 198, 360, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 360, 600 is 6.
FAQs on GCD of 198, 360, 600 Calculator
1. What is the GCD of 198, 360, 600?
GCD of given numbers 198, 360, 600 is 6
2. How to calculate the greatest common divisor of 198, 360, 600?
We can find the highest common divisor of 198, 360, 600 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 198, 360, 600 i.e 6.
3. How can I use the GCD of 198, 360, 600Calculator?
Out the numbers 198, 360, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.