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 776, 396, 604, 182 i.e. 2 largest integer that divides all the numbers equally.
GCD of 776, 396, 604, 182 is 2
GCD(776, 396, 604, 182) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 776, 396, 604, 182 is 2
GCD(776, 396, 604, 182) = 2
Given Input numbers are 776, 396, 604, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 776, 396, 604, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 396, 604, 182 is 2.
Therefore, GCD of numbers 776, 396, 604, 182 is 2
Given Input Data is 776, 396, 604, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 182 is 2 x 7 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(776, 396) = 76824
GCD(776, 396) = ( 776 x 396 ) / 76824
GCD(776, 396) = 307296 / 76824
GCD(776, 396) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 604) = 604
GCD(4, 604) = ( 4 x 604 ) / 604
GCD(4, 604) = 2416 / 604
GCD(4, 604) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 182) = 364
GCD(4, 182) = ( 4 x 182 ) / 364
GCD(4, 182) = 728 / 364
GCD(4, 182) = 2
GCD of 776, 396, 604, 182 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 776, 396, 604, 182?
GCD of 776, 396, 604, 182 is 2
2. Where do I get the detailed procedure to find GCD of 776, 396, 604, 182?
You can find a detailed procedure to find GCD of 776, 396, 604, 182 on our page.
3. How to find GCD of 776, 396, 604, 182 on a calculator?
You can find the GCD of 776, 396, 604, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.