GCD of 553, 210, 58, 572 Calculator

Given Input numbers are 553, 210, 58, 572

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

Divisors of 553

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

1, 7, 79, 553

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 553, 210, 58, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 210, 58, 572 is 1.

Therefore, GCD of numbers 553, 210, 58, 572 is 1

Given Input Data is 553, 210, 58, 572

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(553, 210) = 16590

GCD(553, 210) = ( 553 x 210 ) / 16590

GCD(553, 210) = 116130 / 16590

GCD(553, 210) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 58

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

LCM(7, 58) = 406

GCD(7, 58) = ( 7 x 58 ) / 406

GCD(7, 58) = 406 / 406

GCD(7, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 553, 210, 58, 572 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 222, 65, 425
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• GCD of 148, 558, 34, 310
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• GCD of 720, 462, 24, 905

1. What is the GCD of 553, 210, 58, 572?

GCD of 553, 210, 58, 572 is 1

2. Where do I get the detailed procedure to find GCD of 553, 210, 58, 572?

You can find a detailed procedure to find GCD of 553, 210, 58, 572 on our page.

3. How to find GCD of 553, 210, 58, 572 on a calculator?

You can find the GCD of 553, 210, 58, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.