GCD of 553, 271, 21, 601 Calculator

Given Input numbers are 553, 271, 21, 601

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 553, 271, 21, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 271, 21, 601 is 1.

Therefore, GCD of numbers 553, 271, 21, 601 is 1

Given Input Data is 553, 271, 21, 601

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 271 is 271

Prime Factorization of 21 is 3 x 7

Prime Factorization of 601 is 601

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, 271) = 149863

GCD(553, 271) = ( 553 x 271 ) / 149863

GCD(553, 271) = 149863 / 149863

GCD(553, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 553, 271, 21, 601 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 660, 95, 958
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• GCD of 355, 851, 73, 113

1. What is the GCD of 553, 271, 21, 601?

GCD of 553, 271, 21, 601 is 1

2. Where do I get the detailed procedure to find GCD of 553, 271, 21, 601?

You can find a detailed procedure to find GCD of 553, 271, 21, 601 on our page.

3. How to find GCD of 553, 271, 21, 601 on a calculator?

You can find the GCD of 553, 271, 21, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.