GCD of 234, 534, 260, 518 Calculator

Given Input numbers are 234, 534, 260, 518

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 234, 534, 260, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 534, 260, 518 is 2.

Therefore, GCD of numbers 234, 534, 260, 518 is 2

Given Input Data is 234, 534, 260, 518

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 518 is 2 x 7 x 37

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(234, 534) = 20826

GCD(234, 534) = ( 234 x 534 ) / 20826

GCD(234, 534) = 124956 / 20826

GCD(234, 534) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 260

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

LCM(6, 260) = 780

GCD(6, 260) = ( 6 x 260 ) / 780

GCD(6, 260) = 1560 / 780

GCD(6, 260) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 2

GCD of 234, 534, 260, 518 is 2

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1. What is the GCD of 234, 534, 260, 518?

GCD of 234, 534, 260, 518 is 2

2. Where do I get the detailed procedure to find GCD of 234, 534, 260, 518?

You can find a detailed procedure to find GCD of 234, 534, 260, 518 on our page.

3. How to find GCD of 234, 534, 260, 518 on a calculator?

You can find the GCD of 234, 534, 260, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.