GCD of 318, 849, 361, 713 Calculator

Given Input numbers are 318, 849, 361, 713

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 318, 849, 361, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 849, 361, 713 is 1.

Therefore, GCD of numbers 318, 849, 361, 713 is 1

Given Input Data is 318, 849, 361, 713

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 849 is 3 x 283

Prime Factorization of 361 is 19 x 19

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(318, 849) = 89994

GCD(318, 849) = ( 318 x 849 ) / 89994

GCD(318, 849) = 269982 / 89994

GCD(318, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 361

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

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

GCD(3, 361) = 1083 / 1083

GCD(3, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 318, 849, 361, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 641, 415, 728
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1. What is the GCD of 318, 849, 361, 713?

GCD of 318, 849, 361, 713 is 1

2. Where do I get the detailed procedure to find GCD of 318, 849, 361, 713?

You can find a detailed procedure to find GCD of 318, 849, 361, 713 on our page.

3. How to find GCD of 318, 849, 361, 713 on a calculator?

You can find the GCD of 318, 849, 361, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.