GCD of 144, 128, 434, 361 Calculator

Given Input numbers are 144, 128, 434, 361

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 144, 128, 434, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 128, 434, 361 is 1.

Therefore, GCD of numbers 144, 128, 434, 361 is 1

Given Input Data is 144, 128, 434, 361

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 361 is 19 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(144, 128) = 1152

GCD(144, 128) = ( 144 x 128 ) / 1152

GCD(144, 128) = 18432 / 1152

GCD(144, 128) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 434

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

LCM(16, 434) = 3472

GCD(16, 434) = ( 16 x 434 ) / 3472

GCD(16, 434) = 6944 / 3472

GCD(16, 434) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

GCD of 144, 128, 434, 361 is 1

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• GCD of 894, 559, 461, 474
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1. What is the GCD of 144, 128, 434, 361?

GCD of 144, 128, 434, 361 is 1

2. Where do I get the detailed procedure to find GCD of 144, 128, 434, 361?

You can find a detailed procedure to find GCD of 144, 128, 434, 361 on our page.

3. How to find GCD of 144, 128, 434, 361 on a calculator?

You can find the GCD of 144, 128, 434, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.