GCD of 662, 232, 14, 349 Calculator

Given Input numbers are 662, 232, 14, 349

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 662, 232, 14, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 232, 14, 349 is 1.

Therefore, GCD of numbers 662, 232, 14, 349 is 1

Given Input Data is 662, 232, 14, 349

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 14 is 2 x 7

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(662, 232) = 76792

GCD(662, 232) = ( 662 x 232 ) / 76792

GCD(662, 232) = 153584 / 76792

GCD(662, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

GCD of 662, 232, 14, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 495, 58, 543
• GCD of 668, 185, 12, 131
• GCD of 812, 348, 67, 855
• GCD of 702, 513, 63, 368
• GCD of 847, 157, 60, 303

1. What is the GCD of 662, 232, 14, 349?

GCD of 662, 232, 14, 349 is 1

2. Where do I get the detailed procedure to find GCD of 662, 232, 14, 349?

You can find a detailed procedure to find GCD of 662, 232, 14, 349 on our page.

3. How to find GCD of 662, 232, 14, 349 on a calculator?

You can find the GCD of 662, 232, 14, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.