GCD of 799, 498, 654, 224 Calculator

Given Input numbers are 799, 498, 654, 224

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

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

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 799, 498, 654, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 799, 498, 654, 224 is 1.

Therefore, GCD of numbers 799, 498, 654, 224 is 1

Given Input Data is 799, 498, 654, 224

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

Prime Factorization of 799 is 17 x 47

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 654 is 2 x 3 x 109

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(799, 498) = 397902

GCD(799, 498) = ( 799 x 498 ) / 397902

GCD(799, 498) = 397902 / 397902

GCD(799, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 799, 498, 654, 224 is 1

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1. What is the GCD of 799, 498, 654, 224?

GCD of 799, 498, 654, 224 is 1

2. Where do I get the detailed procedure to find GCD of 799, 498, 654, 224?

You can find a detailed procedure to find GCD of 799, 498, 654, 224 on our page.

3. How to find GCD of 799, 498, 654, 224 on a calculator?

You can find the GCD of 799, 498, 654, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.