GCD of 320, 652, 684 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 320, 652, 684 quickly. Get the easiest ways to solve the greatest common divisor of 320, 652, 684 i.e 4 in different methods as follows.
Given Input numbers are 320, 652, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
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 (320, 652, 684) = 4.
Given numbers are 320, 652, 684
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 652 are 2 x 2 x 163
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 22
Therefore, GCD of 320, 652, 684 is 4.
Steps to Calculate GCD of 320, 652, 684 using LCM Formula
Given numbers are 320, 652, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 652) = 52160
GCD(320, 652) = ( 320 x 652 ) / 52160
= 320 / 652
= 320
Step2:
LCM(4, 684) = 684
GCD(4, 684) = ( 4 x 684 ) / 684
= 4 / 684
= 4
So, Greatest Common Divisor of 320, 652, 684 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 320, 652, 684
Given numbers are 320, 652, 684
The greatest common divisor of numbers 320, 652, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 652, 684 is 4.
FAQs on GCD of 320, 652, 684 Calculator
1. What is the GCD of 320, 652, 684?
GCD of given numbers 320, 652, 684 is 4
2. How to calculate the greatest common divisor of 320, 652, 684?
We can find the highest common divisor of 320, 652, 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 320, 652, 684 i.e 4.
3. How can I use the GCD of 320, 652, 684Calculator?
Out the numbers 320, 652, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.