GCD of 347, 310, 71, 398 Calculator

Given Input numbers are 347, 310, 71, 398

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

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 347, 310, 71, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 310, 71, 398 is 1.

Therefore, GCD of numbers 347, 310, 71, 398 is 1

Given Input Data is 347, 310, 71, 398

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

Prime Factorization of 347 is 347

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 71 is 71

Prime Factorization of 398 is 2 x 199

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(347, 310) = 107570

GCD(347, 310) = ( 347 x 310 ) / 107570

GCD(347, 310) = 107570 / 107570

GCD(347, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 347, 310, 71, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 245, 13, 788
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• GCD of 352, 757, 57, 616

1. What is the GCD of 347, 310, 71, 398?

GCD of 347, 310, 71, 398 is 1

2. Where do I get the detailed procedure to find GCD of 347, 310, 71, 398?

You can find a detailed procedure to find GCD of 347, 310, 71, 398 on our page.

3. How to find GCD of 347, 310, 71, 398 on a calculator?

You can find the GCD of 347, 310, 71, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.