GCD of 494, 150, 292, 388 Calculator

Given Input numbers are 494, 150, 292, 388

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 494, 150, 292, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 150, 292, 388 is 2.

Therefore, GCD of numbers 494, 150, 292, 388 is 2

Given Input Data is 494, 150, 292, 388

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

Prime Factorization of 494 is 2 x 13 x 19

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 388 is 2 x 2 x 97

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(494, 150) = 37050

GCD(494, 150) = ( 494 x 150 ) / 37050

GCD(494, 150) = 74100 / 37050

GCD(494, 150) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

GCD of 494, 150, 292, 388 is 2

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1. What is the GCD of 494, 150, 292, 388?

GCD of 494, 150, 292, 388 is 2

2. Where do I get the detailed procedure to find GCD of 494, 150, 292, 388?

You can find a detailed procedure to find GCD of 494, 150, 292, 388 on our page.

3. How to find GCD of 494, 150, 292, 388 on a calculator?

You can find the GCD of 494, 150, 292, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.