GCD of 314, 824, 57, 328 Calculator

Given Input numbers are 314, 824, 57, 328

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 314, 824, 57, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 824, 57, 328 is 1.

Therefore, GCD of numbers 314, 824, 57, 328 is 1

Given Input Data is 314, 824, 57, 328

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 57 is 3 x 19

Prime Factorization of 328 is 2 x 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(314, 824) = 129368

GCD(314, 824) = ( 314 x 824 ) / 129368

GCD(314, 824) = 258736 / 129368

GCD(314, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 314, 824, 57, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 456, 23, 351
• GCD of 808, 487, 42, 184
• GCD of 985, 885, 90, 874
• GCD of 843, 458, 92, 487
• GCD of 217, 601, 91, 416

1. What is the GCD of 314, 824, 57, 328?

GCD of 314, 824, 57, 328 is 1

2. Where do I get the detailed procedure to find GCD of 314, 824, 57, 328?

You can find a detailed procedure to find GCD of 314, 824, 57, 328 on our page.

3. How to find GCD of 314, 824, 57, 328 on a calculator?

You can find the GCD of 314, 824, 57, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.