GCD of 684, 198, 480 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 684, 198, 480 quickly. Get the easiest ways to solve the greatest common divisor of 684, 198, 480 i.e 6 in different methods as follows.
Given Input numbers are 684, 198, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (684, 198, 480) = 6.
Given numbers are 684, 198, 480
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 684, 198, 480 is 6.
Steps to Calculate GCD of 684, 198, 480 using LCM Formula
Given numbers are 684, 198, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 198) = 7524
GCD(684, 198) = ( 684 x 198 ) / 7524
= 684 / 198
= 684
Step2:
LCM(18, 480) = 1440
GCD(18, 480) = ( 18 x 480 ) / 1440
= 18 / 480
= 18
So, Greatest Common Divisor of 684, 198, 480 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 684, 198, 480
Given numbers are 684, 198, 480
The greatest common divisor of numbers 684, 198, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 198, 480 is 6.
FAQs on GCD of 684, 198, 480 Calculator
1. What is the GCD of 684, 198, 480?
GCD of given numbers 684, 198, 480 is 6
2. How to calculate the greatest common divisor of 684, 198, 480?
We can find the highest common divisor of 684, 198, 480 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 684, 198, 480 i.e 6.
3. How can I use the GCD of 684, 198, 480Calculator?
Out the numbers 684, 198, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.