GCD of 712, 909, 349 Calculator

Given Input numbers are 712, 909, 349

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

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 712, 909, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 909, 349 is 1.

Therefore, GCD of numbers 712, 909, 349 is 1

Given Input Data is 712, 909, 349

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 909 is 3 x 3 x 101

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(712, 909) = 647208

GCD(712, 909) = ( 712 x 909 ) / 647208

GCD(712, 909) = 647208 / 647208

GCD(712, 909) = 1

Step2:

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 712, 909, 349 is 1

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1. What is the GCD of 712, 909, 349?

GCD of 712, 909, 349 is 1

2. Where do I get the detailed procedure to find GCD of 712, 909, 349?

You can find a detailed procedure to find GCD of 712, 909, 349 on our page.

3. How to find GCD of 712, 909, 349 on a calculator?

You can find the GCD of 712, 909, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.