GCD of 270, 440, 12, 668 Calculator

Given Input numbers are 270, 440, 12, 668

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 270, 440, 12, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 440, 12, 668 is 2.

Therefore, GCD of numbers 270, 440, 12, 668 is 2

Given Input Data is 270, 440, 12, 668

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 668 is 2 x 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(270, 440) = 11880

GCD(270, 440) = ( 270 x 440 ) / 11880

GCD(270, 440) = 118800 / 11880

GCD(270, 440) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 12

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

LCM(10, 12) = 60

GCD(10, 12) = ( 10 x 12 ) / 60

GCD(10, 12) = 120 / 60

GCD(10, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 270, 440, 12, 668 is 2

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• GCD of 587, 244, 53, 351
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• GCD of 617, 886, 29, 109

1. What is the GCD of 270, 440, 12, 668?

GCD of 270, 440, 12, 668 is 2

2. Where do I get the detailed procedure to find GCD of 270, 440, 12, 668?

You can find a detailed procedure to find GCD of 270, 440, 12, 668 on our page.

3. How to find GCD of 270, 440, 12, 668 on a calculator?

You can find the GCD of 270, 440, 12, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.