GCD of 438, 168, 94, 449 Calculator

Given Input numbers are 438, 168, 94, 449

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 438, 168, 94, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 168, 94, 449 is 1.

Therefore, GCD of numbers 438, 168, 94, 449 is 1

Given Input Data is 438, 168, 94, 449

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 94 is 2 x 47

Prime Factorization of 449 is 449

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(438, 168) = 12264

GCD(438, 168) = ( 438 x 168 ) / 12264

GCD(438, 168) = 73584 / 12264

GCD(438, 168) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 94

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

LCM(6, 94) = 282

GCD(6, 94) = ( 6 x 94 ) / 282

GCD(6, 94) = 564 / 282

GCD(6, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

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

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

GCD of 438, 168, 94, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 577, 17, 890
• GCD of 949, 361, 51, 843
• GCD of 137, 498, 57, 236
• GCD of 925, 709, 41, 970
• GCD of 931, 475, 46, 324

1. What is the GCD of 438, 168, 94, 449?

GCD of 438, 168, 94, 449 is 1

2. Where do I get the detailed procedure to find GCD of 438, 168, 94, 449?

You can find a detailed procedure to find GCD of 438, 168, 94, 449 on our page.

3. How to find GCD of 438, 168, 94, 449 on a calculator?

You can find the GCD of 438, 168, 94, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.