GCD of 893, 224, 47, 649 Calculator

Given Input numbers are 893, 224, 47, 649

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

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 893, 224, 47, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 224, 47, 649 is 1.

Therefore, GCD of numbers 893, 224, 47, 649 is 1

Given Input Data is 893, 224, 47, 649

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 47 is 47

Prime Factorization of 649 is 11 x 59

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(893, 224) = 200032

GCD(893, 224) = ( 893 x 224 ) / 200032

GCD(893, 224) = 200032 / 200032

GCD(893, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 893, 224, 47, 649 is 1

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1. What is the GCD of 893, 224, 47, 649?

GCD of 893, 224, 47, 649 is 1

2. Where do I get the detailed procedure to find GCD of 893, 224, 47, 649?

You can find a detailed procedure to find GCD of 893, 224, 47, 649 on our page.

3. How to find GCD of 893, 224, 47, 649 on a calculator?

You can find the GCD of 893, 224, 47, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.