GCD of 954, 548, 19, 342 Calculator

Given Input numbers are 954, 548, 19, 342

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 954, 548, 19, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 548, 19, 342 is 1.

Therefore, GCD of numbers 954, 548, 19, 342 is 1

Given Input Data is 954, 548, 19, 342

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 548 is 2 x 2 x 137

Prime Factorization of 19 is 19

Prime Factorization of 342 is 2 x 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(954, 548) = 261396

GCD(954, 548) = ( 954 x 548 ) / 261396

GCD(954, 548) = 522792 / 261396

GCD(954, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 954, 548, 19, 342 is 1

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1. What is the GCD of 954, 548, 19, 342?

GCD of 954, 548, 19, 342 is 1

2. Where do I get the detailed procedure to find GCD of 954, 548, 19, 342?

You can find a detailed procedure to find GCD of 954, 548, 19, 342 on our page.

3. How to find GCD of 954, 548, 19, 342 on a calculator?

You can find the GCD of 954, 548, 19, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.