GCD of 130, 584, 11, 969 Calculator

Given Input numbers are 130, 584, 11, 969

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 130, 584, 11, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 584, 11, 969 is 1.

Therefore, GCD of numbers 130, 584, 11, 969 is 1

Given Input Data is 130, 584, 11, 969

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 11 is 11

Prime Factorization of 969 is 3 x 17 x 19

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(130, 584) = 37960

GCD(130, 584) = ( 130 x 584 ) / 37960

GCD(130, 584) = 75920 / 37960

GCD(130, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 130, 584, 11, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 785, 74, 749
• GCD of 855, 937, 27, 841
• GCD of 938, 809, 84, 743
• GCD of 479, 168, 69, 780
• GCD of 111, 477, 13, 569

1. What is the GCD of 130, 584, 11, 969?

GCD of 130, 584, 11, 969 is 1

2. Where do I get the detailed procedure to find GCD of 130, 584, 11, 969?

You can find a detailed procedure to find GCD of 130, 584, 11, 969 on our page.

3. How to find GCD of 130, 584, 11, 969 on a calculator?

You can find the GCD of 130, 584, 11, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.