GCD of 583, 884, 16, 938 Calculator

Given Input numbers are 583, 884, 16, 938

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

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 583, 884, 16, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 583, 884, 16, 938 is 1.

Therefore, GCD of numbers 583, 884, 16, 938 is 1

Given Input Data is 583, 884, 16, 938

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

Prime Factorization of 583 is 11 x 53

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 938 is 2 x 7 x 67

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(583, 884) = 515372

GCD(583, 884) = ( 583 x 884 ) / 515372

GCD(583, 884) = 515372 / 515372

GCD(583, 884) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 583, 884, 16, 938 is 1

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• GCD of 998, 788, 17, 747
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• GCD of 452, 161, 57, 834

1. What is the GCD of 583, 884, 16, 938?

GCD of 583, 884, 16, 938 is 1

2. Where do I get the detailed procedure to find GCD of 583, 884, 16, 938?

You can find a detailed procedure to find GCD of 583, 884, 16, 938 on our page.

3. How to find GCD of 583, 884, 16, 938 on a calculator?

You can find the GCD of 583, 884, 16, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.