GCD of 314, 711, 213, 349 Calculator

Given Input numbers are 314, 711, 213, 349

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 349

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

1, 349

Greatest Common Divisior

We found the divisors of 314, 711, 213, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 711, 213, 349 is 1.

Therefore, GCD of numbers 314, 711, 213, 349 is 1

Given Input Data is 314, 711, 213, 349

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 213 is 3 x 71

Prime Factorization of 349 is 349

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(314, 711) = 223254

GCD(314, 711) = ( 314 x 711 ) / 223254

GCD(314, 711) = 223254 / 223254

GCD(314, 711) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 314, 711, 213, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 869, 230, 763
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• GCD of 180, 922, 903, 180

1. What is the GCD of 314, 711, 213, 349?

GCD of 314, 711, 213, 349 is 1

2. Where do I get the detailed procedure to find GCD of 314, 711, 213, 349?

You can find a detailed procedure to find GCD of 314, 711, 213, 349 on our page.

3. How to find GCD of 314, 711, 213, 349 on a calculator?

You can find the GCD of 314, 711, 213, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.