GCD of 670, 294, 12 Calculator

Given Input numbers are 670, 294, 12

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

Divisors of 670

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

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 12

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

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 670, 294, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 294, 12 is 2.

Therefore, GCD of numbers 670, 294, 12 is 2

Given Input Data is 670, 294, 12

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 12 is 2 x 2 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(670, 294) = 98490

GCD(670, 294) = ( 670 x 294 ) / 98490

GCD(670, 294) = 196980 / 98490

GCD(670, 294) = 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

GCD of 670, 294, 12 is 2

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1. What is the GCD of 670, 294, 12?

GCD of 670, 294, 12 is 2

2. Where do I get the detailed procedure to find GCD of 670, 294, 12?

You can find a detailed procedure to find GCD of 670, 294, 12 on our page.

3. How to find GCD of 670, 294, 12 on a calculator?

You can find the GCD of 670, 294, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.