GCD of 252, 994, 50, 388 Calculator

Given Input numbers are 252, 994, 50, 388

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 252, 994, 50, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 994, 50, 388 is 2.

Therefore, GCD of numbers 252, 994, 50, 388 is 2

Given Input Data is 252, 994, 50, 388

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 50 is 2 x 5 x 5

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(252, 994) = 17892

GCD(252, 994) = ( 252 x 994 ) / 17892

GCD(252, 994) = 250488 / 17892

GCD(252, 994) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 50

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

LCM(14, 50) = 350

GCD(14, 50) = ( 14 x 50 ) / 350

GCD(14, 50) = 700 / 350

GCD(14, 50) = 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 252, 994, 50, 388 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 631, 11, 742
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• GCD of 204, 683, 50, 726
• GCD of 505, 183, 75, 418
• GCD of 610, 318, 20, 846

1. What is the GCD of 252, 994, 50, 388?

GCD of 252, 994, 50, 388 is 2

2. Where do I get the detailed procedure to find GCD of 252, 994, 50, 388?

You can find a detailed procedure to find GCD of 252, 994, 50, 388 on our page.

3. How to find GCD of 252, 994, 50, 388 on a calculator?

You can find the GCD of 252, 994, 50, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.