GCD of 582, 349, 51, 314 Calculator

Given Input numbers are 582, 349, 51, 314

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 314

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

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 582, 349, 51, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 349, 51, 314 is 1.

Therefore, GCD of numbers 582, 349, 51, 314 is 1

Given Input Data is 582, 349, 51, 314

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 349 is 349

Prime Factorization of 51 is 3 x 17

Prime Factorization of 314 is 2 x 157

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(582, 349) = 203118

GCD(582, 349) = ( 582 x 349 ) / 203118

GCD(582, 349) = 203118 / 203118

GCD(582, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 582, 349, 51, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 108, 91, 315
• GCD of 728, 501, 12, 822
• GCD of 213, 873, 72, 490
• GCD of 251, 615, 17, 608
• GCD of 333, 716, 52, 195

1. What is the GCD of 582, 349, 51, 314?

GCD of 582, 349, 51, 314 is 1

2. Where do I get the detailed procedure to find GCD of 582, 349, 51, 314?

You can find a detailed procedure to find GCD of 582, 349, 51, 314 on our page.

3. How to find GCD of 582, 349, 51, 314 on a calculator?

You can find the GCD of 582, 349, 51, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.