GCD of 344, 148, 802, 663 Calculator

Given Input numbers are 344, 148, 802, 663

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 344, 148, 802, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 148, 802, 663 is 1.

Therefore, GCD of numbers 344, 148, 802, 663 is 1

Given Input Data is 344, 148, 802, 663

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 802 is 2 x 401

Prime Factorization of 663 is 3 x 13 x 17

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(344, 148) = 12728

GCD(344, 148) = ( 344 x 148 ) / 12728

GCD(344, 148) = 50912 / 12728

GCD(344, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 802

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

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

GCD(4, 802) = 3208 / 1604

GCD(4, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 663

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

LCM(2, 663) = 1326

GCD(2, 663) = ( 2 x 663 ) / 1326

GCD(2, 663) = 1326 / 1326

GCD(2, 663) = 1

GCD of 344, 148, 802, 663 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 489, 646, 471
• GCD of 171, 448, 576, 203
• GCD of 573, 406, 518, 277
• GCD of 677, 868, 497, 503
• GCD of 369, 184, 898, 574

1. What is the GCD of 344, 148, 802, 663?

GCD of 344, 148, 802, 663 is 1

2. Where do I get the detailed procedure to find GCD of 344, 148, 802, 663?

You can find a detailed procedure to find GCD of 344, 148, 802, 663 on our page.

3. How to find GCD of 344, 148, 802, 663 on a calculator?

You can find the GCD of 344, 148, 802, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.