GCD of 189, 266, 89, 871 Calculator

Given Input numbers are 189, 266, 89, 871

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

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 189, 266, 89, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 266, 89, 871 is 1.

Therefore, GCD of numbers 189, 266, 89, 871 is 1

Given Input Data is 189, 266, 89, 871

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

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 89 is 89

Prime Factorization of 871 is 13 x 67

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(189, 266) = 7182

GCD(189, 266) = ( 189 x 266 ) / 7182

GCD(189, 266) = 50274 / 7182

GCD(189, 266) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 89

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

LCM(7, 89) = 623

GCD(7, 89) = ( 7 x 89 ) / 623

GCD(7, 89) = 623 / 623

GCD(7, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 189, 266, 89, 871 is 1

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1. What is the GCD of 189, 266, 89, 871?

GCD of 189, 266, 89, 871 is 1

2. Where do I get the detailed procedure to find GCD of 189, 266, 89, 871?

You can find a detailed procedure to find GCD of 189, 266, 89, 871 on our page.

3. How to find GCD of 189, 266, 89, 871 on a calculator?

You can find the GCD of 189, 266, 89, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.