GCD of 448, 624, 233, 812 Calculator

Given Input numbers are 448, 624, 233, 812

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 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 448, 624, 233, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 624, 233, 812 is 1.

Therefore, GCD of numbers 448, 624, 233, 812 is 1

Given Input Data is 448, 624, 233, 812

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 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 233 is 233

Prime Factorization of 812 is 2 x 2 x 7 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(448, 624) = 17472

GCD(448, 624) = ( 448 x 624 ) / 17472

GCD(448, 624) = 279552 / 17472

GCD(448, 624) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 233

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

LCM(16, 233) = 3728

GCD(16, 233) = ( 16 x 233 ) / 3728

GCD(16, 233) = 3728 / 3728

GCD(16, 233) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 448, 624, 233, 812 is 1

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1. What is the GCD of 448, 624, 233, 812?

GCD of 448, 624, 233, 812 is 1

2. Where do I get the detailed procedure to find GCD of 448, 624, 233, 812?

You can find a detailed procedure to find GCD of 448, 624, 233, 812 on our page.

3. How to find GCD of 448, 624, 233, 812 on a calculator?

You can find the GCD of 448, 624, 233, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.