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 184, 772, 52, 716 i.e. 4 largest integer that divides all the numbers equally.
GCD of 184, 772, 52, 716 is 4
GCD(184, 772, 52, 716) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 772, 52, 716 is 4
GCD(184, 772, 52, 716) = 4
Given Input numbers are 184, 772, 52, 716
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 184, 772, 52, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 772, 52, 716 is 4.
Therefore, GCD of numbers 184, 772, 52, 716 is 4
Given Input Data is 184, 772, 52, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 716 is 2 x 2 x 179
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(184, 772) = 35512
GCD(184, 772) = ( 184 x 772 ) / 35512
GCD(184, 772) = 142048 / 35512
GCD(184, 772) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 52) = 52
GCD(4, 52) = ( 4 x 52 ) / 52
GCD(4, 52) = 208 / 52
GCD(4, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 716) = 716
GCD(4, 716) = ( 4 x 716 ) / 716
GCD(4, 716) = 2864 / 716
GCD(4, 716) = 4
GCD of 184, 772, 52, 716 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 184, 772, 52, 716?
GCD of 184, 772, 52, 716 is 4
2. Where do I get the detailed procedure to find GCD of 184, 772, 52, 716?
You can find a detailed procedure to find GCD of 184, 772, 52, 716 on our page.
3. How to find GCD of 184, 772, 52, 716 on a calculator?
You can find the GCD of 184, 772, 52, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.