GCD of 954, 102, 169, 442 Calculator

Given Input numbers are 954, 102, 169, 442

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 954, 102, 169, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 102, 169, 442 is 1.

Therefore, GCD of numbers 954, 102, 169, 442 is 1

Given Input Data is 954, 102, 169, 442

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 102 is 2 x 3 x 17

Prime Factorization of 169 is 13 x 13

Prime Factorization of 442 is 2 x 13 x 17

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, 102) = 16218

GCD(954, 102) = ( 954 x 102 ) / 16218

GCD(954, 102) = 97308 / 16218

GCD(954, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 169

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

LCM(6, 169) = 1014

GCD(6, 169) = ( 6 x 169 ) / 1014

GCD(6, 169) = 1014 / 1014

GCD(6, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 954, 102, 169, 442 is 1

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1. What is the GCD of 954, 102, 169, 442?

GCD of 954, 102, 169, 442 is 1

2. Where do I get the detailed procedure to find GCD of 954, 102, 169, 442?

You can find a detailed procedure to find GCD of 954, 102, 169, 442 on our page.

3. How to find GCD of 954, 102, 169, 442 on a calculator?

You can find the GCD of 954, 102, 169, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.