GCD of 513, 817, 71, 161 Calculator

Given Input numbers are 513, 817, 71, 161

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 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 161

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

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 513, 817, 71, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 817, 71, 161 is 1.

Therefore, GCD of numbers 513, 817, 71, 161 is 1

Given Input Data is 513, 817, 71, 161

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 817 is 19 x 43

Prime Factorization of 71 is 71

Prime Factorization of 161 is 7 x 23

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, 817) = 22059

GCD(513, 817) = ( 513 x 817 ) / 22059

GCD(513, 817) = 419121 / 22059

GCD(513, 817) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 71

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

LCM(19, 71) = 1349

GCD(19, 71) = ( 19 x 71 ) / 1349

GCD(19, 71) = 1349 / 1349

GCD(19, 71) = 1

Step3:

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

GCD of 513, 817, 71, 161 is 1

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• GCD of 184, 454, 93, 198
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1. What is the GCD of 513, 817, 71, 161?

GCD of 513, 817, 71, 161 is 1

2. Where do I get the detailed procedure to find GCD of 513, 817, 71, 161?

You can find a detailed procedure to find GCD of 513, 817, 71, 161 on our page.

3. How to find GCD of 513, 817, 71, 161 on a calculator?

You can find the GCD of 513, 817, 71, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.