GCD of 982, 381, 42, 902 Calculator

Given Input numbers are 982, 381, 42, 902

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 982, 381, 42, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 381, 42, 902 is 1.

Therefore, GCD of numbers 982, 381, 42, 902 is 1

Given Input Data is 982, 381, 42, 902

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 381 is 3 x 127

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 902 is 2 x 11 x 41

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(982, 381) = 374142

GCD(982, 381) = ( 982 x 381 ) / 374142

GCD(982, 381) = 374142 / 374142

GCD(982, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 982, 381, 42, 902 is 1

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1. What is the GCD of 982, 381, 42, 902?

GCD of 982, 381, 42, 902 is 1

2. Where do I get the detailed procedure to find GCD of 982, 381, 42, 902?

You can find a detailed procedure to find GCD of 982, 381, 42, 902 on our page.

3. How to find GCD of 982, 381, 42, 902 on a calculator?

You can find the GCD of 982, 381, 42, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.