GCD of 314, 181, 82, 784 Calculator

Given Input numbers are 314, 181, 82, 784

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 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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

Greatest Common Divisior

We found the divisors of 314, 181, 82, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 181, 82, 784 is 1.

Therefore, GCD of numbers 314, 181, 82, 784 is 1

Given Input Data is 314, 181, 82, 784

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 181 is 181

Prime Factorization of 82 is 2 x 41

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

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, 181) = 56834

GCD(314, 181) = ( 314 x 181 ) / 56834

GCD(314, 181) = 56834 / 56834

GCD(314, 181) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

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

GCD of 314, 181, 82, 784 is 1

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1. What is the GCD of 314, 181, 82, 784?

GCD of 314, 181, 82, 784 is 1

2. Where do I get the detailed procedure to find GCD of 314, 181, 82, 784?

You can find a detailed procedure to find GCD of 314, 181, 82, 784 on our page.

3. How to find GCD of 314, 181, 82, 784 on a calculator?

You can find the GCD of 314, 181, 82, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.