GCD of 624, 684, 80 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 624, 684, 80 i.e. 4 largest integer that divides all the numbers equally.
GCD of 624, 684, 80 is 4
GCD(624, 684, 80) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 684, 80 is 4
GCD(624, 684, 80) = 4
GCDof 624,684,80 is 4
Given Input numbers are 624, 684, 80
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Greatest Common Divisior
We found the divisors of 624, 684, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 684, 80 is 4.
Therefore, GCD of numbers 624, 684, 80 is 4
Given Input Data is 624, 684, 80
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 624, 684, 80 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(624, 684) = 35568
GCD(624, 684) = ( 624 x 684 ) / 35568
GCD(624, 684) = 426816 / 35568
GCD(624, 684) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 80) = 240
GCD(12, 80) = ( 12 x 80 ) / 240
GCD(12, 80) = 960 / 240
GCD(12, 80) = 4
GCD of 624, 684, 80 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 624, 684, 80
1. What is the GCD of 624, 684, 80?
GCD of 624, 684, 80 is 4
2. Where do I get the detailed procedure to find GCD of 624, 684, 80?
You can find a detailed procedure to find GCD of 624, 684, 80 on our page.
3. How to find GCD of 624, 684, 80 on a calculator?
You can find the GCD of 624, 684, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
