GCD of 150, 994, 38, 492 Calculator

Given Input numbers are 150, 994, 38, 492

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 38

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

1, 2, 19, 38

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 150, 994, 38, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 994, 38, 492 is 2.

Therefore, GCD of numbers 150, 994, 38, 492 is 2

Given Input Data is 150, 994, 38, 492

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 38 is 2 x 19

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(150, 994) = 74550

GCD(150, 994) = ( 150 x 994 ) / 74550

GCD(150, 994) = 149100 / 74550

GCD(150, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 492

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

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

GCD(2, 492) = 984 / 492

GCD(2, 492) = 2

GCD of 150, 994, 38, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 816, 92, 678
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• GCD of 217, 307, 11, 127
• GCD of 364, 108, 23, 596

1. What is the GCD of 150, 994, 38, 492?

GCD of 150, 994, 38, 492 is 2

2. Where do I get the detailed procedure to find GCD of 150, 994, 38, 492?

You can find a detailed procedure to find GCD of 150, 994, 38, 492 on our page.

3. How to find GCD of 150, 994, 38, 492 on a calculator?

You can find the GCD of 150, 994, 38, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.