GCD of 692, 176, 189 Calculator

Given Input numbers are 692, 176, 189

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 692, 176, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 176, 189 is 1.

Therefore, GCD of numbers 692, 176, 189 is 1

Given Input Data is 692, 176, 189

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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

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(692, 176) = 30448

GCD(692, 176) = ( 692 x 176 ) / 30448

GCD(692, 176) = 121792 / 30448

GCD(692, 176) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 189

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

LCM(4, 189) = 756

GCD(4, 189) = ( 4 x 189 ) / 756

GCD(4, 189) = 756 / 756

GCD(4, 189) = 1

GCD of 692, 176, 189 is 1

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1. What is the GCD of 692, 176, 189?

GCD of 692, 176, 189 is 1

2. Where do I get the detailed procedure to find GCD of 692, 176, 189?

You can find a detailed procedure to find GCD of 692, 176, 189 on our page.

3. How to find GCD of 692, 176, 189 on a calculator?

You can find the GCD of 692, 176, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.