GCD of 467, 966, 41, 171 Calculator

Given Input numbers are 467, 966, 41, 171

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

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 41

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

1, 41

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 467, 966, 41, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 966, 41, 171 is 1.

Therefore, GCD of numbers 467, 966, 41, 171 is 1

Given Input Data is 467, 966, 41, 171

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

Prime Factorization of 467 is 467

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 41 is 41

Prime Factorization of 171 is 3 x 3 x 19

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(467, 966) = 451122

GCD(467, 966) = ( 467 x 966 ) / 451122

GCD(467, 966) = 451122 / 451122

GCD(467, 966) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 467, 966, 41, 171 is 1

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1. What is the GCD of 467, 966, 41, 171?

GCD of 467, 966, 41, 171 is 1

2. Where do I get the detailed procedure to find GCD of 467, 966, 41, 171?

You can find a detailed procedure to find GCD of 467, 966, 41, 171 on our page.

3. How to find GCD of 467, 966, 41, 171 on a calculator?

You can find the GCD of 467, 966, 41, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.