GCD of 338, 500, 86, 480 Calculator

Given Input numbers are 338, 500, 86, 480

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 338, 500, 86, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 500, 86, 480 is 2.

Therefore, GCD of numbers 338, 500, 86, 480 is 2

Given Input Data is 338, 500, 86, 480

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 86 is 2 x 43

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(338, 500) = 84500

GCD(338, 500) = ( 338 x 500 ) / 84500

GCD(338, 500) = 169000 / 84500

GCD(338, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 338, 500, 86, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 509, 22, 480
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• GCD of 212, 266, 98, 197
• GCD of 406, 797, 64, 251
• GCD of 712, 535, 76, 967

1. What is the GCD of 338, 500, 86, 480?

GCD of 338, 500, 86, 480 is 2

2. Where do I get the detailed procedure to find GCD of 338, 500, 86, 480?

You can find a detailed procedure to find GCD of 338, 500, 86, 480 on our page.

3. How to find GCD of 338, 500, 86, 480 on a calculator?

You can find the GCD of 338, 500, 86, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.