GCD of 448, 364, 766, 284 Calculator

Given Input numbers are 448, 364, 766, 284

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 766

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

1, 2, 383, 766

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 448, 364, 766, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 364, 766, 284 is 2.

Therefore, GCD of numbers 448, 364, 766, 284 is 2

Given Input Data is 448, 364, 766, 284

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 364 is 2 x 2 x 7 x 13

Prime Factorization of 766 is 2 x 383

Prime Factorization of 284 is 2 x 2 x 71

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, 364) = 5824

GCD(448, 364) = ( 448 x 364 ) / 5824

GCD(448, 364) = 163072 / 5824

GCD(448, 364) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 766

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

LCM(28, 766) = 10724

GCD(28, 766) = ( 28 x 766 ) / 10724

GCD(28, 766) = 21448 / 10724

GCD(28, 766) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 448, 364, 766, 284 is 2

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1. What is the GCD of 448, 364, 766, 284?

GCD of 448, 364, 766, 284 is 2

2. Where do I get the detailed procedure to find GCD of 448, 364, 766, 284?

You can find a detailed procedure to find GCD of 448, 364, 766, 284 on our page.

3. How to find GCD of 448, 364, 766, 284 on a calculator?

You can find the GCD of 448, 364, 766, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.