GCD of 448, 289, 464, 503 Calculator

Given Input numbers are 448, 289, 464, 503

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 448, 289, 464, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 289, 464, 503 is 1.

Therefore, GCD of numbers 448, 289, 464, 503 is 1

Given Input Data is 448, 289, 464, 503

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 289 is 17 x 17

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 503 is 503

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(448, 289) = 129472

GCD(448, 289) = ( 448 x 289 ) / 129472

GCD(448, 289) = 129472 / 129472

GCD(448, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 448, 289, 464, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 514, 142, 949
• GCD of 146, 394, 564, 309
• GCD of 328, 114, 397, 835
• GCD of 416, 767, 787, 565
• GCD of 660, 859, 187, 344

1. What is the GCD of 448, 289, 464, 503?

GCD of 448, 289, 464, 503 is 1

2. Where do I get the detailed procedure to find GCD of 448, 289, 464, 503?

You can find a detailed procedure to find GCD of 448, 289, 464, 503 on our page.

3. How to find GCD of 448, 289, 464, 503 on a calculator?

You can find the GCD of 448, 289, 464, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.