GCD of 348, 293, 966, 798 Calculator

Given Input numbers are 348, 293, 966, 798

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 348, 293, 966, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 293, 966, 798 is 1.

Therefore, GCD of numbers 348, 293, 966, 798 is 1

Given Input Data is 348, 293, 966, 798

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 293 is 293

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(348, 293) = 101964

GCD(348, 293) = ( 348 x 293 ) / 101964

GCD(348, 293) = 101964 / 101964

GCD(348, 293) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 348, 293, 966, 798 is 1

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1. What is the GCD of 348, 293, 966, 798?

GCD of 348, 293, 966, 798 is 1

2. Where do I get the detailed procedure to find GCD of 348, 293, 966, 798?

You can find a detailed procedure to find GCD of 348, 293, 966, 798 on our page.

3. How to find GCD of 348, 293, 966, 798 on a calculator?

You can find the GCD of 348, 293, 966, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.