GCD of 189, 161, 538, 518 Calculator

Given Input numbers are 189, 161, 538, 518

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 161

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

1, 7, 23, 161

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 189, 161, 538, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 161, 538, 518 is 1.

Therefore, GCD of numbers 189, 161, 538, 518 is 1

Given Input Data is 189, 161, 538, 518

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 161 is 7 x 23

Prime Factorization of 538 is 2 x 269

Prime Factorization of 518 is 2 x 7 x 37

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(189, 161) = 4347

GCD(189, 161) = ( 189 x 161 ) / 4347

GCD(189, 161) = 30429 / 4347

GCD(189, 161) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 538

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

LCM(7, 538) = 3766

GCD(7, 538) = ( 7 x 538 ) / 3766

GCD(7, 538) = 3766 / 3766

GCD(7, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 189, 161, 538, 518 is 1

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• GCD of 857, 805, 697, 444
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1. What is the GCD of 189, 161, 538, 518?

GCD of 189, 161, 538, 518 is 1

2. Where do I get the detailed procedure to find GCD of 189, 161, 538, 518?

You can find a detailed procedure to find GCD of 189, 161, 538, 518 on our page.

3. How to find GCD of 189, 161, 538, 518 on a calculator?

You can find the GCD of 189, 161, 538, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.