GCD of 994, 300, 20, 402 Calculator

Given Input numbers are 994, 300, 20, 402

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 994, 300, 20, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 300, 20, 402 is 2.

Therefore, GCD of numbers 994, 300, 20, 402 is 2

Given Input Data is 994, 300, 20, 402

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 402 is 2 x 3 x 67

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(994, 300) = 149100

GCD(994, 300) = ( 994 x 300 ) / 149100

GCD(994, 300) = 298200 / 149100

GCD(994, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 402

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

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

GCD(2, 402) = 804 / 402

GCD(2, 402) = 2

GCD of 994, 300, 20, 402 is 2

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1. What is the GCD of 994, 300, 20, 402?

GCD of 994, 300, 20, 402 is 2

2. Where do I get the detailed procedure to find GCD of 994, 300, 20, 402?

You can find a detailed procedure to find GCD of 994, 300, 20, 402 on our page.

3. How to find GCD of 994, 300, 20, 402 on a calculator?

You can find the GCD of 994, 300, 20, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.