GCD of 34, 441, 391, 288 Calculator

Given Input numbers are 34, 441, 391, 288

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 34, 441, 391, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 441, 391, 288 is 1.

Therefore, GCD of numbers 34, 441, 391, 288 is 1

Given Input Data is 34, 441, 391, 288

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 391 is 17 x 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 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(34, 441) = 14994

GCD(34, 441) = ( 34 x 441 ) / 14994

GCD(34, 441) = 14994 / 14994

GCD(34, 441) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 34, 441, 391, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 831, 713, 253
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• GCD of 82, 766, 684, 392
• GCD of 37, 403, 540, 530
• GCD of 48, 187, 975, 495

1. What is the GCD of 34, 441, 391, 288?

GCD of 34, 441, 391, 288 is 1

2. Where do I get the detailed procedure to find GCD of 34, 441, 391, 288?

You can find a detailed procedure to find GCD of 34, 441, 391, 288 on our page.

3. How to find GCD of 34, 441, 391, 288 on a calculator?

You can find the GCD of 34, 441, 391, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.