GCD of 849, 228, 448, 280 Calculator

Given Input numbers are 849, 228, 448, 280

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 849, 228, 448, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 228, 448, 280 is 1.

Therefore, GCD of numbers 849, 228, 448, 280 is 1

Given Input Data is 849, 228, 448, 280

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 228 is 2 x 2 x 3 x 19

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(849, 228) = 64524

GCD(849, 228) = ( 849 x 228 ) / 64524

GCD(849, 228) = 193572 / 64524

GCD(849, 228) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 448

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

LCM(3, 448) = 1344

GCD(3, 448) = ( 3 x 448 ) / 1344

GCD(3, 448) = 1344 / 1344

GCD(3, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 849, 228, 448, 280 is 1

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1. What is the GCD of 849, 228, 448, 280?

GCD of 849, 228, 448, 280 is 1

2. Where do I get the detailed procedure to find GCD of 849, 228, 448, 280?

You can find a detailed procedure to find GCD of 849, 228, 448, 280 on our page.

3. How to find GCD of 849, 228, 448, 280 on a calculator?

You can find the GCD of 849, 228, 448, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.