GCD of 431, 884, 144, 348 Calculator

Given Input numbers are 431, 884, 144, 348

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 431, 884, 144, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 884, 144, 348 is 1.

Therefore, GCD of numbers 431, 884, 144, 348 is 1

Given Input Data is 431, 884, 144, 348

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

Prime Factorization of 431 is 431

Prime Factorization of 884 is 2 x 2 x 13 x 17

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(431, 884) = 381004

GCD(431, 884) = ( 431 x 884 ) / 381004

GCD(431, 884) = 381004 / 381004

GCD(431, 884) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 431, 884, 144, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 499, 110, 974
• GCD of 459, 465, 306, 542
• GCD of 981, 177, 108, 898
• GCD of 171, 414, 459, 784
• GCD of 583, 732, 775, 981

1. What is the GCD of 431, 884, 144, 348?

GCD of 431, 884, 144, 348 is 1

2. Where do I get the detailed procedure to find GCD of 431, 884, 144, 348?

You can find a detailed procedure to find GCD of 431, 884, 144, 348 on our page.

3. How to find GCD of 431, 884, 144, 348 on a calculator?

You can find the GCD of 431, 884, 144, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.