GCD of 473, 759, 490, 224 Calculator

Given Input numbers are 473, 759, 490, 224

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 473, 759, 490, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 759, 490, 224 is 1.

Therefore, GCD of numbers 473, 759, 490, 224 is 1

Given Input Data is 473, 759, 490, 224

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(473, 759) = 32637

GCD(473, 759) = ( 473 x 759 ) / 32637

GCD(473, 759) = 359007 / 32637

GCD(473, 759) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 490

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

LCM(11, 490) = 5390

GCD(11, 490) = ( 11 x 490 ) / 5390

GCD(11, 490) = 5390 / 5390

GCD(11, 490) = 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 473, 759, 490, 224 is 1

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1. What is the GCD of 473, 759, 490, 224?

GCD of 473, 759, 490, 224 is 1

2. Where do I get the detailed procedure to find GCD of 473, 759, 490, 224?

You can find a detailed procedure to find GCD of 473, 759, 490, 224 on our page.

3. How to find GCD of 473, 759, 490, 224 on a calculator?

You can find the GCD of 473, 759, 490, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.