GCD of 310, 898, 713, 304 Calculator

Given Input numbers are 310, 898, 713, 304

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 713

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

1, 23, 31, 713

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 310, 898, 713, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 898, 713, 304 is 1.

Therefore, GCD of numbers 310, 898, 713, 304 is 1

Given Input Data is 310, 898, 713, 304

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 898 is 2 x 449

Prime Factorization of 713 is 23 x 31

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(310, 898) = 139190

GCD(310, 898) = ( 310 x 898 ) / 139190

GCD(310, 898) = 278380 / 139190

GCD(310, 898) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 310, 898, 713, 304 is 1

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• GCD of 487, 139, 915, 985
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1. What is the GCD of 310, 898, 713, 304?

GCD of 310, 898, 713, 304 is 1

2. Where do I get the detailed procedure to find GCD of 310, 898, 713, 304?

You can find a detailed procedure to find GCD of 310, 898, 713, 304 on our page.

3. How to find GCD of 310, 898, 713, 304 on a calculator?

You can find the GCD of 310, 898, 713, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.