GCD of 538, 510, 34, 872 Calculator

Given Input numbers are 538, 510, 34, 872

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 538, 510, 34, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 510, 34, 872 is 2.

Therefore, GCD of numbers 538, 510, 34, 872 is 2

Given Input Data is 538, 510, 34, 872

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 34 is 2 x 17

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(538, 510) = 137190

GCD(538, 510) = ( 538 x 510 ) / 137190

GCD(538, 510) = 274380 / 137190

GCD(538, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 538, 510, 34, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 251, 56, 477
• GCD of 928, 960, 94, 781
• GCD of 327, 784, 58, 941
• GCD of 269, 228, 32, 911
• GCD of 669, 238, 78, 621

1. What is the GCD of 538, 510, 34, 872?

GCD of 538, 510, 34, 872 is 2

2. Where do I get the detailed procedure to find GCD of 538, 510, 34, 872?

You can find a detailed procedure to find GCD of 538, 510, 34, 872 on our page.

3. How to find GCD of 538, 510, 34, 872 on a calculator?

You can find the GCD of 538, 510, 34, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.