GCD of 954, 174, 82, 449 Calculator

Given Input numbers are 954, 174, 82, 449

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 449

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

1, 449

Greatest Common Divisior

We found the divisors of 954, 174, 82, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 174, 82, 449 is 1.

Therefore, GCD of numbers 954, 174, 82, 449 is 1

Given Input Data is 954, 174, 82, 449

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 82 is 2 x 41

Prime Factorization of 449 is 449

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(954, 174) = 27666

GCD(954, 174) = ( 954 x 174 ) / 27666

GCD(954, 174) = 165996 / 27666

GCD(954, 174) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

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

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

GCD of 954, 174, 82, 449 is 1

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• GCD of 836, 920, 20, 782
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1. What is the GCD of 954, 174, 82, 449?

GCD of 954, 174, 82, 449 is 1

2. Where do I get the detailed procedure to find GCD of 954, 174, 82, 449?

You can find a detailed procedure to find GCD of 954, 174, 82, 449 on our page.

3. How to find GCD of 954, 174, 82, 449 on a calculator?

You can find the GCD of 954, 174, 82, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.