GCD of 556, 448, 889, 272 Calculator

Given Input numbers are 556, 448, 889, 272

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

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 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 556, 448, 889, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 448, 889, 272 is 1.

Therefore, GCD of numbers 556, 448, 889, 272 is 1

Given Input Data is 556, 448, 889, 272

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

Prime Factorization of 556 is 2 x 2 x 139

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(556, 448) = 62272

GCD(556, 448) = ( 556 x 448 ) / 62272

GCD(556, 448) = 249088 / 62272

GCD(556, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 889

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

LCM(4, 889) = 3556

GCD(4, 889) = ( 4 x 889 ) / 3556

GCD(4, 889) = 3556 / 3556

GCD(4, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 556, 448, 889, 272 is 1

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1. What is the GCD of 556, 448, 889, 272?

GCD of 556, 448, 889, 272 is 1

2. Where do I get the detailed procedure to find GCD of 556, 448, 889, 272?

You can find a detailed procedure to find GCD of 556, 448, 889, 272 on our page.

3. How to find GCD of 556, 448, 889, 272 on a calculator?

You can find the GCD of 556, 448, 889, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.