GCD of 468, 699, 344, 432 Calculator

Given Input numbers are 468, 699, 344, 432

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 468, 699, 344, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 699, 344, 432 is 1.

Therefore, GCD of numbers 468, 699, 344, 432 is 1

Given Input Data is 468, 699, 344, 432

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 699 is 3 x 233

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(468, 699) = 109044

GCD(468, 699) = ( 468 x 699 ) / 109044

GCD(468, 699) = 327132 / 109044

GCD(468, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 344

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

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

GCD(3, 344) = 1032 / 1032

GCD(3, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 468, 699, 344, 432 is 1

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1. What is the GCD of 468, 699, 344, 432?

GCD of 468, 699, 344, 432 is 1

2. Where do I get the detailed procedure to find GCD of 468, 699, 344, 432?

You can find a detailed procedure to find GCD of 468, 699, 344, 432 on our page.

3. How to find GCD of 468, 699, 344, 432 on a calculator?

You can find the GCD of 468, 699, 344, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.