GCD of 94, 180, 189, 165 Calculator

Given Input numbers are 94, 180, 189, 165

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

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 94, 180, 189, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 180, 189, 165 is 1.

Therefore, GCD of numbers 94, 180, 189, 165 is 1

Given Input Data is 94, 180, 189, 165

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

Prime Factorization of 94 is 2 x 47

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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

Prime Factorization of 165 is 3 x 5 x 11

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(94, 180) = 8460

GCD(94, 180) = ( 94 x 180 ) / 8460

GCD(94, 180) = 16920 / 8460

GCD(94, 180) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 94, 180, 189, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 559, 737, 928
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• GCD of 45, 404, 181, 568
• GCD of 78, 100, 552, 693
• GCD of 24, 207, 539, 657

1. What is the GCD of 94, 180, 189, 165?

GCD of 94, 180, 189, 165 is 1

2. Where do I get the detailed procedure to find GCD of 94, 180, 189, 165?

You can find a detailed procedure to find GCD of 94, 180, 189, 165 on our page.

3. How to find GCD of 94, 180, 189, 165 on a calculator?

You can find the GCD of 94, 180, 189, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.