GCD of 50, 498, 466, 886 Calculator

Given Input numbers are 50, 498, 466, 886

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 50, 498, 466, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 498, 466, 886 is 2.

Therefore, GCD of numbers 50, 498, 466, 886 is 2

Given Input Data is 50, 498, 466, 886

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 498 is 2 x 3 x 83

Prime Factorization of 466 is 2 x 233

Prime Factorization of 886 is 2 x 443

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, 498) = 12450

GCD(50, 498) = ( 50 x 498 ) / 12450

GCD(50, 498) = 24900 / 12450

GCD(50, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

GCD of 50, 498, 466, 886 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 920, 633, 738
• GCD of 31, 532, 341, 783
• GCD of 35, 703, 852, 255
• GCD of 78, 637, 909, 205
• GCD of 79, 441, 188, 163

1. What is the GCD of 50, 498, 466, 886?

GCD of 50, 498, 466, 886 is 2

2. Where do I get the detailed procedure to find GCD of 50, 498, 466, 886?

You can find a detailed procedure to find GCD of 50, 498, 466, 886 on our page.

3. How to find GCD of 50, 498, 466, 886 on a calculator?

You can find the GCD of 50, 498, 466, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.