GCD of 26, 338, 520, 648 Calculator

Given Input numbers are 26, 338, 520, 648

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 338

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

1, 2, 13, 26, 169, 338

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 26, 338, 520, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 338, 520, 648 is 2.

Therefore, GCD of numbers 26, 338, 520, 648 is 2

Given Input Data is 26, 338, 520, 648

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(26, 338) = 338

GCD(26, 338) = ( 26 x 338 ) / 338

GCD(26, 338) = 8788 / 338

GCD(26, 338) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 520

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

LCM(26, 520) = 520

GCD(26, 520) = ( 26 x 520 ) / 520

GCD(26, 520) = 13520 / 520

GCD(26, 520) = 26

Step3:

Here we consider the GCD from the above i.e. 26 as first number and the next as 648

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

LCM(26, 648) = 8424

GCD(26, 648) = ( 26 x 648 ) / 8424

GCD(26, 648) = 16848 / 8424

GCD(26, 648) = 2

GCD of 26, 338, 520, 648 is 2

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1. What is the GCD of 26, 338, 520, 648?

GCD of 26, 338, 520, 648 is 2

2. Where do I get the detailed procedure to find GCD of 26, 338, 520, 648?

You can find a detailed procedure to find GCD of 26, 338, 520, 648 on our page.

3. How to find GCD of 26, 338, 520, 648 on a calculator?

You can find the GCD of 26, 338, 520, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.