GCD of 573, 553, 14, 404 Calculator

Given Input numbers are 573, 553, 14, 404

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 573, 553, 14, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 553, 14, 404 is 1.

Therefore, GCD of numbers 573, 553, 14, 404 is 1

Given Input Data is 573, 553, 14, 404

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 553 is 7 x 79

Prime Factorization of 14 is 2 x 7

Prime Factorization of 404 is 2 x 2 x 101

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(573, 553) = 316869

GCD(573, 553) = ( 573 x 553 ) / 316869

GCD(573, 553) = 316869 / 316869

GCD(573, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 573, 553, 14, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 128, 43, 281
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1. What is the GCD of 573, 553, 14, 404?

GCD of 573, 553, 14, 404 is 1

2. Where do I get the detailed procedure to find GCD of 573, 553, 14, 404?

You can find a detailed procedure to find GCD of 573, 553, 14, 404 on our page.

3. How to find GCD of 573, 553, 14, 404 on a calculator?

You can find the GCD of 573, 553, 14, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.