GCD of 176, 689, 514, 189 Calculator

Given Input numbers are 176, 689, 514, 189

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

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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 176, 689, 514, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 689, 514, 189 is 1.

Therefore, GCD of numbers 176, 689, 514, 189 is 1

Given Input Data is 176, 689, 514, 189

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

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 514 is 2 x 257

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(176, 689) = 121264

GCD(176, 689) = ( 176 x 689 ) / 121264

GCD(176, 689) = 121264 / 121264

GCD(176, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 176, 689, 514, 189 is 1

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1. What is the GCD of 176, 689, 514, 189?

GCD of 176, 689, 514, 189 is 1

2. Where do I get the detailed procedure to find GCD of 176, 689, 514, 189?

You can find a detailed procedure to find GCD of 176, 689, 514, 189 on our page.

3. How to find GCD of 176, 689, 514, 189 on a calculator?

You can find the GCD of 176, 689, 514, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.