GCD of 130, 966, 960, 513 Calculator

Given Input numbers are 130, 966, 960, 513

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 130, 966, 960, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 966, 960, 513 is 1.

Therefore, GCD of numbers 130, 966, 960, 513 is 1

Given Input Data is 130, 966, 960, 513

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 966 is 2 x 3 x 7 x 23

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 513 is 3 x 3 x 3 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, 966) = 62790

GCD(130, 966) = ( 130 x 966 ) / 62790

GCD(130, 966) = 125580 / 62790

GCD(130, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

GCD of 130, 966, 960, 513 is 1

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1. What is the GCD of 130, 966, 960, 513?

GCD of 130, 966, 960, 513 is 1

2. Where do I get the detailed procedure to find GCD of 130, 966, 960, 513?

You can find a detailed procedure to find GCD of 130, 966, 960, 513 on our page.

3. How to find GCD of 130, 966, 960, 513 on a calculator?

You can find the GCD of 130, 966, 960, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.