GCD of 165, 871, 449, 565 Calculator

Given Input numbers are 165, 871, 449, 565

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 871

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

1, 13, 67, 871

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 165, 871, 449, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 871, 449, 565 is 1.

Therefore, GCD of numbers 165, 871, 449, 565 is 1

Given Input Data is 165, 871, 449, 565

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 871 is 13 x 67

Prime Factorization of 449 is 449

Prime Factorization of 565 is 5 x 113

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(165, 871) = 143715

GCD(165, 871) = ( 165 x 871 ) / 143715

GCD(165, 871) = 143715 / 143715

GCD(165, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 165, 871, 449, 565 is 1

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1. What is the GCD of 165, 871, 449, 565?

GCD of 165, 871, 449, 565 is 1

2. Where do I get the detailed procedure to find GCD of 165, 871, 449, 565?

You can find a detailed procedure to find GCD of 165, 871, 449, 565 on our page.

3. How to find GCD of 165, 871, 449, 565 on a calculator?

You can find the GCD of 165, 871, 449, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.