GCD of 50, 502, 384, 820 Calculator

Given Input numbers are 50, 502, 384, 820

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

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 50, 502, 384, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 502, 384, 820 is 2.

Therefore, GCD of numbers 50, 502, 384, 820 is 2

Given Input Data is 50, 502, 384, 820

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 502 is 2 x 251

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 820 is 2 x 2 x 5 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(50, 502) = 12550

GCD(50, 502) = ( 50 x 502 ) / 12550

GCD(50, 502) = 25100 / 12550

GCD(50, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

GCD of 50, 502, 384, 820 is 2

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• GCD of 77, 397, 777, 140
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1. What is the GCD of 50, 502, 384, 820?

GCD of 50, 502, 384, 820 is 2

2. Where do I get the detailed procedure to find GCD of 50, 502, 384, 820?

You can find a detailed procedure to find GCD of 50, 502, 384, 820 on our page.

3. How to find GCD of 50, 502, 384, 820 on a calculator?

You can find the GCD of 50, 502, 384, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.