GCD of 322, 638, 10, 713 Calculator

Given Input numbers are 322, 638, 10, 713

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 322, 638, 10, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 638, 10, 713 is 1.

Therefore, GCD of numbers 322, 638, 10, 713 is 1

Given Input Data is 322, 638, 10, 713

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 10 is 2 x 5

Prime Factorization of 713 is 23 x 31

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(322, 638) = 102718

GCD(322, 638) = ( 322 x 638 ) / 102718

GCD(322, 638) = 205436 / 102718

GCD(322, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

GCD of 322, 638, 10, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 698, 56, 381
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1. What is the GCD of 322, 638, 10, 713?

GCD of 322, 638, 10, 713 is 1

2. Where do I get the detailed procedure to find GCD of 322, 638, 10, 713?

You can find a detailed procedure to find GCD of 322, 638, 10, 713 on our page.

3. How to find GCD of 322, 638, 10, 713 on a calculator?

You can find the GCD of 322, 638, 10, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.