GCD of 399, 504, 217, 344 Calculator

Given Input numbers are 399, 504, 217, 344

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 344

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

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

Greatest Common Divisior

We found the divisors of 399, 504, 217, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 504, 217, 344 is 1.

Therefore, GCD of numbers 399, 504, 217, 344 is 1

Given Input Data is 399, 504, 217, 344

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 217 is 7 x 31

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

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(399, 504) = 9576

GCD(399, 504) = ( 399 x 504 ) / 9576

GCD(399, 504) = 201096 / 9576

GCD(399, 504) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 217

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

LCM(21, 217) = 651

GCD(21, 217) = ( 21 x 217 ) / 651

GCD(21, 217) = 4557 / 651

GCD(21, 217) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 344

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

LCM(7, 344) = 2408

GCD(7, 344) = ( 7 x 344 ) / 2408

GCD(7, 344) = 2408 / 2408

GCD(7, 344) = 1

GCD of 399, 504, 217, 344 is 1

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1. What is the GCD of 399, 504, 217, 344?

GCD of 399, 504, 217, 344 is 1

2. Where do I get the detailed procedure to find GCD of 399, 504, 217, 344?

You can find a detailed procedure to find GCD of 399, 504, 217, 344 on our page.

3. How to find GCD of 399, 504, 217, 344 on a calculator?

You can find the GCD of 399, 504, 217, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.