GCD of 496, 520, 52, 334 Calculator

Given Input numbers are 496, 520, 52, 334

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 496, 520, 52, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 520, 52, 334 is 2.

Therefore, GCD of numbers 496, 520, 52, 334 is 2

Given Input Data is 496, 520, 52, 334

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 334 is 2 x 167

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(496, 520) = 32240

GCD(496, 520) = ( 496 x 520 ) / 32240

GCD(496, 520) = 257920 / 32240

GCD(496, 520) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 52

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

LCM(8, 52) = 104

GCD(8, 52) = ( 8 x 52 ) / 104

GCD(8, 52) = 416 / 104

GCD(8, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 334

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

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

GCD(4, 334) = 1336 / 668

GCD(4, 334) = 2

GCD of 496, 520, 52, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 934, 65, 463
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• GCD of 710, 683, 16, 884

1. What is the GCD of 496, 520, 52, 334?

GCD of 496, 520, 52, 334 is 2

2. Where do I get the detailed procedure to find GCD of 496, 520, 52, 334?

You can find a detailed procedure to find GCD of 496, 520, 52, 334 on our page.

3. How to find GCD of 496, 520, 52, 334 on a calculator?

You can find the GCD of 496, 520, 52, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.