GCD of 994, 224, 453, 821 Calculator

Given Input numbers are 994, 224, 453, 821

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 994, 224, 453, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 224, 453, 821 is 1.

Therefore, GCD of numbers 994, 224, 453, 821 is 1

Given Input Data is 994, 224, 453, 821

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

Prime Factorization of 994 is 2 x 7 x 71

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 821 is 821

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(994, 224) = 15904

GCD(994, 224) = ( 994 x 224 ) / 15904

GCD(994, 224) = 222656 / 15904

GCD(994, 224) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 453

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

LCM(14, 453) = 6342

GCD(14, 453) = ( 14 x 453 ) / 6342

GCD(14, 453) = 6342 / 6342

GCD(14, 453) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 994, 224, 453, 821 is 1

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1. What is the GCD of 994, 224, 453, 821?

GCD of 994, 224, 453, 821 is 1

2. Where do I get the detailed procedure to find GCD of 994, 224, 453, 821?

You can find a detailed procedure to find GCD of 994, 224, 453, 821 on our page.

3. How to find GCD of 994, 224, 453, 821 on a calculator?

You can find the GCD of 994, 224, 453, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.