GCD of 205, 859, 42, 671 Calculator

Given Input numbers are 205, 859, 42, 671

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 205, 859, 42, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 859, 42, 671 is 1.

Therefore, GCD of numbers 205, 859, 42, 671 is 1

Given Input Data is 205, 859, 42, 671

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 859 is 859

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 671 is 11 x 61

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(205, 859) = 176095

GCD(205, 859) = ( 205 x 859 ) / 176095

GCD(205, 859) = 176095 / 176095

GCD(205, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 671

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

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

GCD(1, 671) = 671 / 671

GCD(1, 671) = 1

GCD of 205, 859, 42, 671 is 1

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1. What is the GCD of 205, 859, 42, 671?

GCD of 205, 859, 42, 671 is 1

2. Where do I get the detailed procedure to find GCD of 205, 859, 42, 671?

You can find a detailed procedure to find GCD of 205, 859, 42, 671 on our page.

3. How to find GCD of 205, 859, 42, 671 on a calculator?

You can find the GCD of 205, 859, 42, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.