GCD of 448, 784, 63, 437 Calculator

Given Input numbers are 448, 784, 63, 437

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 448, 784, 63, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 784, 63, 437 is 1.

Therefore, GCD of numbers 448, 784, 63, 437 is 1

Given Input Data is 448, 784, 63, 437

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 437 is 19 x 23

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, 784) = 3136

GCD(448, 784) = ( 448 x 784 ) / 3136

GCD(448, 784) = 351232 / 3136

GCD(448, 784) = 112

Step2:

Here we consider the GCD from the above i.e. 112 as first number and the next as 63

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

LCM(112, 63) = 1008

GCD(112, 63) = ( 112 x 63 ) / 1008

GCD(112, 63) = 7056 / 1008

GCD(112, 63) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 437

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

LCM(7, 437) = 3059

GCD(7, 437) = ( 7 x 437 ) / 3059

GCD(7, 437) = 3059 / 3059

GCD(7, 437) = 1

GCD of 448, 784, 63, 437 is 1

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• GCD of 428, 842, 61, 878
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1. What is the GCD of 448, 784, 63, 437?

GCD of 448, 784, 63, 437 is 1

2. Where do I get the detailed procedure to find GCD of 448, 784, 63, 437?

You can find a detailed procedure to find GCD of 448, 784, 63, 437 on our page.

3. How to find GCD of 448, 784, 63, 437 on a calculator?

You can find the GCD of 448, 784, 63, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.