GCD of 776, 396, 604, 182 Calculator

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

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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.