GCD of 667, 717, 676, 349 Calculator

Given Input numbers are 667, 717, 676, 349

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 667, 717, 676, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 717, 676, 349 is 1.

Therefore, GCD of numbers 667, 717, 676, 349 is 1

Given Input Data is 667, 717, 676, 349

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 717 is 3 x 239

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(667, 717) = 478239

GCD(667, 717) = ( 667 x 717 ) / 478239

GCD(667, 717) = 478239 / 478239

GCD(667, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 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 667, 717, 676, 349 is 1

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1. What is the GCD of 667, 717, 676, 349?

GCD of 667, 717, 676, 349 is 1

2. Where do I get the detailed procedure to find GCD of 667, 717, 676, 349?

You can find a detailed procedure to find GCD of 667, 717, 676, 349 on our page.

3. How to find GCD of 667, 717, 676, 349 on a calculator?

You can find the GCD of 667, 717, 676, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.