GCD of 284, 974, 33, 982 Calculator

Given Input numbers are 284, 974, 33, 982

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 982

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

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 284, 974, 33, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 974, 33, 982 is 1.

Therefore, GCD of numbers 284, 974, 33, 982 is 1

Given Input Data is 284, 974, 33, 982

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 974 is 2 x 487

Prime Factorization of 33 is 3 x 11

Prime Factorization of 982 is 2 x 491

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(284, 974) = 138308

GCD(284, 974) = ( 284 x 974 ) / 138308

GCD(284, 974) = 276616 / 138308

GCD(284, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 284, 974, 33, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 850, 27, 699
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1. What is the GCD of 284, 974, 33, 982?

GCD of 284, 974, 33, 982 is 1

2. Where do I get the detailed procedure to find GCD of 284, 974, 33, 982?

You can find a detailed procedure to find GCD of 284, 974, 33, 982 on our page.

3. How to find GCD of 284, 974, 33, 982 on a calculator?

You can find the GCD of 284, 974, 33, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.