GCD of 538, 844, 12, 670 Calculator

Given Input numbers are 538, 844, 12, 670

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 538, 844, 12, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 844, 12, 670 is 2.

Therefore, GCD of numbers 538, 844, 12, 670 is 2

Given Input Data is 538, 844, 12, 670

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 670 is 2 x 5 x 67

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, 844) = 227036

GCD(538, 844) = ( 538 x 844 ) / 227036

GCD(538, 844) = 454072 / 227036

GCD(538, 844) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

GCD of 538, 844, 12, 670 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 807, 55, 734
• GCD of 199, 791, 83, 111
• GCD of 731, 934, 94, 453
• GCD of 679, 370, 91, 438
• GCD of 633, 719, 14, 686

1. What is the GCD of 538, 844, 12, 670?

GCD of 538, 844, 12, 670 is 2

2. Where do I get the detailed procedure to find GCD of 538, 844, 12, 670?

You can find a detailed procedure to find GCD of 538, 844, 12, 670 on our page.

3. How to find GCD of 538, 844, 12, 670 on a calculator?

You can find the GCD of 538, 844, 12, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.