GCD of 916, 684, 360 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 916, 684, 360 quickly. Get the easiest ways to solve the greatest common divisor of 916, 684, 360 i.e 4 in different methods as follows.
Given Input numbers are 916, 684, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
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 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
GCD of numbers is the greatest common divisor
So, the GCD (916, 684, 360) = 4.
Given numbers are 916, 684, 360
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 916, 684, 360 is 4.
Steps to Calculate GCD of 916, 684, 360 using LCM Formula
Given numbers are 916, 684, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 684) = 156636
GCD(916, 684) = ( 916 x 684 ) / 156636
= 916 / 684
= 916
Step2:
LCM(4, 360) = 360
GCD(4, 360) = ( 4 x 360 ) / 360
= 4 / 360
= 4
So, Greatest Common Divisor of 916, 684, 360 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 916, 684, 360
Given numbers are 916, 684, 360
The greatest common divisor of numbers 916, 684, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 684, 360 is 4.
FAQs on GCD of 916, 684, 360 Calculator
1. What is the GCD of 916, 684, 360?
GCD of given numbers 916, 684, 360 is 4
2. How to calculate the greatest common divisor of 916, 684, 360?
We can find the highest common divisor of 916, 684, 360 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 916, 684, 360 i.e 4.
3. How can I use the GCD of 916, 684, 360Calculator?
Out the numbers 916, 684, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.