GCD of 187, 176, 71, 853 Calculator

Given Input numbers are 187, 176, 71, 853

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 187, 176, 71, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 176, 71, 853 is 1.

Therefore, GCD of numbers 187, 176, 71, 853 is 1

Given Input Data is 187, 176, 71, 853

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

Prime Factorization of 187 is 11 x 17

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

Prime Factorization of 71 is 71

Prime Factorization of 853 is 853

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(187, 176) = 2992

GCD(187, 176) = ( 187 x 176 ) / 2992

GCD(187, 176) = 32912 / 2992

GCD(187, 176) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 71

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

LCM(11, 71) = 781

GCD(11, 71) = ( 11 x 71 ) / 781

GCD(11, 71) = 781 / 781

GCD(11, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 187, 176, 71, 853 is 1

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1. What is the GCD of 187, 176, 71, 853?

GCD of 187, 176, 71, 853 is 1

2. Where do I get the detailed procedure to find GCD of 187, 176, 71, 853?

You can find a detailed procedure to find GCD of 187, 176, 71, 853 on our page.

3. How to find GCD of 187, 176, 71, 853 on a calculator?

You can find the GCD of 187, 176, 71, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.