GCD of 976, 394, 324, 856 Calculator

Given Input numbers are 976, 394, 324, 856

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 976, 394, 324, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 394, 324, 856 is 2.

Therefore, GCD of numbers 976, 394, 324, 856 is 2

Given Input Data is 976, 394, 324, 856

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 394 is 2 x 197

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(976, 394) = 192272

GCD(976, 394) = ( 976 x 394 ) / 192272

GCD(976, 394) = 384544 / 192272

GCD(976, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 976, 394, 324, 856 is 2

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1. What is the GCD of 976, 394, 324, 856?

GCD of 976, 394, 324, 856 is 2

2. Where do I get the detailed procedure to find GCD of 976, 394, 324, 856?

You can find a detailed procedure to find GCD of 976, 394, 324, 856 on our page.

3. How to find GCD of 976, 394, 324, 856 on a calculator?

You can find the GCD of 976, 394, 324, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.