GCD of 343, 564, 798 Calculator

Given Input numbers are 343, 564, 798

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 343, 564, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 564, 798 is 1.

Therefore, GCD of numbers 343, 564, 798 is 1

Given Input Data is 343, 564, 798

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(343, 564) = 193452

GCD(343, 564) = ( 343 x 564 ) / 193452

GCD(343, 564) = 193452 / 193452

GCD(343, 564) = 1

Step2:

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 343, 564, 798 is 1

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1. What is the GCD of 343, 564, 798?

GCD of 343, 564, 798 is 1

2. Where do I get the detailed procedure to find GCD of 343, 564, 798?

You can find a detailed procedure to find GCD of 343, 564, 798 on our page.

3. How to find GCD of 343, 564, 798 on a calculator?

You can find the GCD of 343, 564, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.