GCD of 103, 884, 21, 637 Calculator

Given Input numbers are 103, 884, 21, 637

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 21

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

1, 3, 7, 21

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 103, 884, 21, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 884, 21, 637 is 1.

Therefore, GCD of numbers 103, 884, 21, 637 is 1

Given Input Data is 103, 884, 21, 637

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

Prime Factorization of 103 is 103

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 21 is 3 x 7

Prime Factorization of 637 is 7 x 7 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(103, 884) = 91052

GCD(103, 884) = ( 103 x 884 ) / 91052

GCD(103, 884) = 91052 / 91052

GCD(103, 884) = 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 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 103, 884, 21, 637 is 1

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1. What is the GCD of 103, 884, 21, 637?

GCD of 103, 884, 21, 637 is 1

2. Where do I get the detailed procedure to find GCD of 103, 884, 21, 637?

You can find a detailed procedure to find GCD of 103, 884, 21, 637 on our page.

3. How to find GCD of 103, 884, 21, 637 on a calculator?

You can find the GCD of 103, 884, 21, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.