GCD of 994, 752, 200, 506 Calculator

Given Input numbers are 994, 752, 200, 506

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 994, 752, 200, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 752, 200, 506 is 2.

Therefore, GCD of numbers 994, 752, 200, 506 is 2

Given Input Data is 994, 752, 200, 506

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 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 506 is 2 x 11 x 23

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, 752) = 373744

GCD(994, 752) = ( 994 x 752 ) / 373744

GCD(994, 752) = 747488 / 373744

GCD(994, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 994, 752, 200, 506 is 2

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1. What is the GCD of 994, 752, 200, 506?

GCD of 994, 752, 200, 506 is 2

2. Where do I get the detailed procedure to find GCD of 994, 752, 200, 506?

You can find a detailed procedure to find GCD of 994, 752, 200, 506 on our page.

3. How to find GCD of 994, 752, 200, 506 on a calculator?

You can find the GCD of 994, 752, 200, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.