GCD of 12, 500, 534, 334 Calculator

Given Input numbers are 12, 500, 534, 334

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 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 12, 500, 534, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 500, 534, 334 is 2.

Therefore, GCD of numbers 12, 500, 534, 334 is 2

Given Input Data is 12, 500, 534, 334

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 534 is 2 x 3 x 89

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(12, 500) = 1500

GCD(12, 500) = ( 12 x 500 ) / 1500

GCD(12, 500) = 6000 / 1500

GCD(12, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 534

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

LCM(4, 534) = 1068

GCD(4, 534) = ( 4 x 534 ) / 1068

GCD(4, 534) = 2136 / 1068

GCD(4, 534) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 12, 500, 534, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 600, 617, 694
• GCD of 50, 574, 551, 619
• GCD of 90, 751, 986, 485
• GCD of 94, 342, 805, 721
• GCD of 28, 742, 243, 153

1. What is the GCD of 12, 500, 534, 334?

GCD of 12, 500, 534, 334 is 2

2. Where do I get the detailed procedure to find GCD of 12, 500, 534, 334?

You can find a detailed procedure to find GCD of 12, 500, 534, 334 on our page.

3. How to find GCD of 12, 500, 534, 334 on a calculator?

You can find the GCD of 12, 500, 534, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.