GCD of 205, 360, 684 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 205, 360, 684 quickly. Get the easiest ways to solve the greatest common divisor of 205, 360, 684 i.e 1 in different methods as follows.
Given Input numbers are 205, 360, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
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 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
GCD of numbers is the greatest common divisor
So, the GCD (205, 360, 684) = 1.
Given numbers are 205, 360, 684
The list of prime factors of all numbers are
Prime factors of 205 are 5 x 41
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 205, 360, 684 using LCM Formula
Given numbers are 205, 360, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(205, 360) = 14760
GCD(205, 360) = ( 205 x 360 ) / 14760
= 205 / 360
= 205
Step2:
LCM(5, 684) = 3420
GCD(5, 684) = ( 5 x 684 ) / 3420
= 5 / 684
= 5
So, Greatest Common Divisor of 205, 360, 684 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 205, 360, 684
Given numbers are 205, 360, 684
The greatest common divisor of numbers 205, 360, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 360, 684 is 1.
FAQs on GCD of 205, 360, 684 Calculator
1. What is the GCD of 205, 360, 684?
GCD of given numbers 205, 360, 684 is 1
2. How to calculate the greatest common divisor of 205, 360, 684?
We can find the highest common divisor of 205, 360, 684 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 205, 360, 684 i.e 1.
3. How can I use the GCD of 205, 360, 684Calculator?
Out the numbers 205, 360, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.