GCD of 948, 424, 42, 185 Calculator

Given Input numbers are 948, 424, 42, 185

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 424

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

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 948, 424, 42, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 424, 42, 185 is 1.

Therefore, GCD of numbers 948, 424, 42, 185 is 1

Given Input Data is 948, 424, 42, 185

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 185 is 5 x 37

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(948, 424) = 100488

GCD(948, 424) = ( 948 x 424 ) / 100488

GCD(948, 424) = 401952 / 100488

GCD(948, 424) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 948, 424, 42, 185 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 974, 37, 582
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1. What is the GCD of 948, 424, 42, 185?

GCD of 948, 424, 42, 185 is 1

2. Where do I get the detailed procedure to find GCD of 948, 424, 42, 185?

You can find a detailed procedure to find GCD of 948, 424, 42, 185 on our page.

3. How to find GCD of 948, 424, 42, 185 on a calculator?

You can find the GCD of 948, 424, 42, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.