GCD of 954, 435, 38, 424 Calculator

Given Input numbers are 954, 435, 38, 424

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 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 954, 435, 38, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 435, 38, 424 is 1.

Therefore, GCD of numbers 954, 435, 38, 424 is 1

Given Input Data is 954, 435, 38, 424

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 435 is 3 x 5 x 29

Prime Factorization of 38 is 2 x 19

Prime Factorization of 424 is 2 x 2 x 2 x 53

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, 435) = 138330

GCD(954, 435) = ( 954 x 435 ) / 138330

GCD(954, 435) = 414990 / 138330

GCD(954, 435) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 38

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

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

GCD(3, 38) = 114 / 114

GCD(3, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 954, 435, 38, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 732, 25, 538
• GCD of 914, 414, 72, 573
• GCD of 405, 921, 87, 275
• GCD of 442, 830, 48, 962
• GCD of 879, 572, 24, 223

1. What is the GCD of 954, 435, 38, 424?

GCD of 954, 435, 38, 424 is 1

2. Where do I get the detailed procedure to find GCD of 954, 435, 38, 424?

You can find a detailed procedure to find GCD of 954, 435, 38, 424 on our page.

3. How to find GCD of 954, 435, 38, 424 on a calculator?

You can find the GCD of 954, 435, 38, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.