GCD of 314, 185, 784, 353 Calculator

Given Input numbers are 314, 185, 784, 353

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 314, 185, 784, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 185, 784, 353 is 1.

Therefore, GCD of numbers 314, 185, 784, 353 is 1

Given Input Data is 314, 185, 784, 353

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 185 is 5 x 37

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 353 is 353

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, 185) = 58090

GCD(314, 185) = ( 314 x 185 ) / 58090

GCD(314, 185) = 58090 / 58090

GCD(314, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 314, 185, 784, 353 is 1

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1. What is the GCD of 314, 185, 784, 353?

GCD of 314, 185, 784, 353 is 1

2. Where do I get the detailed procedure to find GCD of 314, 185, 784, 353?

You can find a detailed procedure to find GCD of 314, 185, 784, 353 on our page.

3. How to find GCD of 314, 185, 784, 353 on a calculator?

You can find the GCD of 314, 185, 784, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.