GCD of 41, 164, 805, 909 Calculator

Given Input numbers are 41, 164, 805, 909

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 41, 164, 805, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 164, 805, 909 is 1.

Therefore, GCD of numbers 41, 164, 805, 909 is 1

Given Input Data is 41, 164, 805, 909

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

Prime Factorization of 41 is 41

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 909 is 3 x 3 x 101

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(41, 164) = 164

GCD(41, 164) = ( 41 x 164 ) / 164

GCD(41, 164) = 6724 / 164

GCD(41, 164) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 805

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

LCM(41, 805) = 33005

GCD(41, 805) = ( 41 x 805 ) / 33005

GCD(41, 805) = 33005 / 33005

GCD(41, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 41, 164, 805, 909 is 1

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1. What is the GCD of 41, 164, 805, 909?

GCD of 41, 164, 805, 909 is 1

2. Where do I get the detailed procedure to find GCD of 41, 164, 805, 909?

You can find a detailed procedure to find GCD of 41, 164, 805, 909 on our page.

3. How to find GCD of 41, 164, 805, 909 on a calculator?

You can find the GCD of 41, 164, 805, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.