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 616, 824, 80 i.e. 8 largest integer that divides all the numbers equally.
GCD of 616, 824, 80 is 8
GCD(616, 824, 80) = 8
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 824, 80 is 8
GCD(616, 824, 80) = 8
Given Input numbers are 616, 824, 80
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
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 616, 824, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 824, 80 is 8.
Therefore, GCD of numbers 616, 824, 80 is 8
Given Input Data is 616, 824, 80
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Highest common occurrences in the given inputs are 23
Multiplying them we get the GCD as 8
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(616, 824) = 63448
GCD(616, 824) = ( 616 x 824 ) / 63448
GCD(616, 824) = 507584 / 63448
GCD(616, 824) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 80) = 80
GCD(8, 80) = ( 8 x 80 ) / 80
GCD(8, 80) = 640 / 80
GCD(8, 80) = 8
GCD of 616, 824, 80 is 8
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 824, 80?
GCD of 616, 824, 80 is 8
2. Where do I get the detailed procedure to find GCD of 616, 824, 80?
You can find a detailed procedure to find GCD of 616, 824, 80 on our page.
3. How to find GCD of 616, 824, 80 on a calculator?
You can find the GCD of 616, 824, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.