GCD of 502, 348, 52, 926 Calculator

Given Input numbers are 502, 348, 52, 926

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

Divisors of 502

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

1, 2, 251, 502

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 502, 348, 52, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 348, 52, 926 is 2.

Therefore, GCD of numbers 502, 348, 52, 926 is 2

Given Input Data is 502, 348, 52, 926

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 926 is 2 x 463

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(502, 348) = 87348

GCD(502, 348) = ( 502 x 348 ) / 87348

GCD(502, 348) = 174696 / 87348

GCD(502, 348) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

GCD of 502, 348, 52, 926 is 2

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1. What is the GCD of 502, 348, 52, 926?

GCD of 502, 348, 52, 926 is 2

2. Where do I get the detailed procedure to find GCD of 502, 348, 52, 926?

You can find a detailed procedure to find GCD of 502, 348, 52, 926 on our page.

3. How to find GCD of 502, 348, 52, 926 on a calculator?

You can find the GCD of 502, 348, 52, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.