GCD of 50, 414, 900, 508 Calculator

Given Input numbers are 50, 414, 900, 508

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 50, 414, 900, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 414, 900, 508 is 2.

Therefore, GCD of numbers 50, 414, 900, 508 is 2

Given Input Data is 50, 414, 900, 508

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 508 is 2 x 2 x 127

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, 414) = 10350

GCD(50, 414) = ( 50 x 414 ) / 10350

GCD(50, 414) = 20700 / 10350

GCD(50, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 50, 414, 900, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 205, 885, 159
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• GCD of 59, 695, 510, 518
• GCD of 10, 812, 254, 915

1. What is the GCD of 50, 414, 900, 508?

GCD of 50, 414, 900, 508 is 2

2. Where do I get the detailed procedure to find GCD of 50, 414, 900, 508?

You can find a detailed procedure to find GCD of 50, 414, 900, 508 on our page.

3. How to find GCD of 50, 414, 900, 508 on a calculator?

You can find the GCD of 50, 414, 900, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.