GCD of 448, 784, 766, 638 Calculator

Given Input numbers are 448, 784, 766, 638

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 448, 784, 766, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 784, 766, 638 is 2.

Therefore, GCD of numbers 448, 784, 766, 638 is 2

Given Input Data is 448, 784, 766, 638

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 766 is 2 x 383

Prime Factorization of 638 is 2 x 11 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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 766

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

LCM(112, 766) = 42896

GCD(112, 766) = ( 112 x 766 ) / 42896

GCD(112, 766) = 85792 / 42896

GCD(112, 766) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

GCD of 448, 784, 766, 638 is 2

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1. What is the GCD of 448, 784, 766, 638?

GCD of 448, 784, 766, 638 is 2

2. Where do I get the detailed procedure to find GCD of 448, 784, 766, 638?

You can find a detailed procedure to find GCD of 448, 784, 766, 638 on our page.

3. How to find GCD of 448, 784, 766, 638 on a calculator?

You can find the GCD of 448, 784, 766, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.