GCD of 723, 656, 188, 171 Calculator

Given Input numbers are 723, 656, 188, 171

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 723, 656, 188, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 656, 188, 171 is 1.

Therefore, GCD of numbers 723, 656, 188, 171 is 1

Given Input Data is 723, 656, 188, 171

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 171 is 3 x 3 x 19

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(723, 656) = 474288

GCD(723, 656) = ( 723 x 656 ) / 474288

GCD(723, 656) = 474288 / 474288

GCD(723, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 723, 656, 188, 171 is 1

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1. What is the GCD of 723, 656, 188, 171?

GCD of 723, 656, 188, 171 is 1

2. Where do I get the detailed procedure to find GCD of 723, 656, 188, 171?

You can find a detailed procedure to find GCD of 723, 656, 188, 171 on our page.

3. How to find GCD of 723, 656, 188, 171 on a calculator?

You can find the GCD of 723, 656, 188, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.