GCD of 513, 994, 161, 130 Calculator

Given Input numbers are 513, 994, 161, 130

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

Divisors of 513

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

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 513, 994, 161, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 994, 161, 130 is 1.

Therefore, GCD of numbers 513, 994, 161, 130 is 1

Given Input Data is 513, 994, 161, 130

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 161 is 7 x 23

Prime Factorization of 130 is 2 x 5 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(513, 994) = 509922

GCD(513, 994) = ( 513 x 994 ) / 509922

GCD(513, 994) = 509922 / 509922

GCD(513, 994) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 513, 994, 161, 130 is 1

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1. What is the GCD of 513, 994, 161, 130?

GCD of 513, 994, 161, 130 is 1

2. Where do I get the detailed procedure to find GCD of 513, 994, 161, 130?

You can find a detailed procedure to find GCD of 513, 994, 161, 130 on our page.

3. How to find GCD of 513, 994, 161, 130 on a calculator?

You can find the GCD of 513, 994, 161, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.