GCD of 627, 903, 978, 224 Calculator

Given Input numbers are 627, 903, 978, 224

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 627, 903, 978, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 903, 978, 224 is 1.

Therefore, GCD of numbers 627, 903, 978, 224 is 1

Given Input Data is 627, 903, 978, 224

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(627, 903) = 188727

GCD(627, 903) = ( 627 x 903 ) / 188727

GCD(627, 903) = 566181 / 188727

GCD(627, 903) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 978

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

LCM(3, 978) = 978

GCD(3, 978) = ( 3 x 978 ) / 978

GCD(3, 978) = 2934 / 978

GCD(3, 978) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 224

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

LCM(3, 224) = 672

GCD(3, 224) = ( 3 x 224 ) / 672

GCD(3, 224) = 672 / 672

GCD(3, 224) = 1

GCD of 627, 903, 978, 224 is 1

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1. What is the GCD of 627, 903, 978, 224?

GCD of 627, 903, 978, 224 is 1

2. Where do I get the detailed procedure to find GCD of 627, 903, 978, 224?

You can find a detailed procedure to find GCD of 627, 903, 978, 224 on our page.

3. How to find GCD of 627, 903, 978, 224 on a calculator?

You can find the GCD of 627, 903, 978, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.