GCD of 349, 863, 71, 217 Calculator

Given Input numbers are 349, 863, 71, 217

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

Divisors of 349

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

1, 349

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 71

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

1, 71

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 349, 863, 71, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 863, 71, 217 is 1.

Therefore, GCD of numbers 349, 863, 71, 217 is 1

Given Input Data is 349, 863, 71, 217

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

Prime Factorization of 349 is 349

Prime Factorization of 863 is 863

Prime Factorization of 71 is 71

Prime Factorization of 217 is 7 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(349, 863) = 301187

GCD(349, 863) = ( 349 x 863 ) / 301187

GCD(349, 863) = 301187 / 301187

GCD(349, 863) = 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 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 349, 863, 71, 217 is 1

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1. What is the GCD of 349, 863, 71, 217?

GCD of 349, 863, 71, 217 is 1

2. Where do I get the detailed procedure to find GCD of 349, 863, 71, 217?

You can find a detailed procedure to find GCD of 349, 863, 71, 217 on our page.

3. How to find GCD of 349, 863, 71, 217 on a calculator?

You can find the GCD of 349, 863, 71, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.