GCD of 987, 423, 13, 944 Calculator

Given Input numbers are 987, 423, 13, 944

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 987, 423, 13, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 423, 13, 944 is 1.

Therefore, GCD of numbers 987, 423, 13, 944 is 1

Given Input Data is 987, 423, 13, 944

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 13 is 13

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(987, 423) = 2961

GCD(987, 423) = ( 987 x 423 ) / 2961

GCD(987, 423) = 417501 / 2961

GCD(987, 423) = 141

Step2:

Here we consider the GCD from the above i.e. 141 as first number and the next as 13

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

LCM(141, 13) = 1833

GCD(141, 13) = ( 141 x 13 ) / 1833

GCD(141, 13) = 1833 / 1833

GCD(141, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 987, 423, 13, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 902, 78, 710
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• GCD of 216, 141, 21, 788

1. What is the GCD of 987, 423, 13, 944?

GCD of 987, 423, 13, 944 is 1

2. Where do I get the detailed procedure to find GCD of 987, 423, 13, 944?

You can find a detailed procedure to find GCD of 987, 423, 13, 944 on our page.

3. How to find GCD of 987, 423, 13, 944 on a calculator?

You can find the GCD of 987, 423, 13, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.