GCD of 440, 318, 135, 214 Calculator

Given Input numbers are 440, 318, 135, 214

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

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 440, 318, 135, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 318, 135, 214 is 1.

Therefore, GCD of numbers 440, 318, 135, 214 is 1

Given Input Data is 440, 318, 135, 214

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

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 214 is 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

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(440, 318) = 69960

GCD(440, 318) = ( 440 x 318 ) / 69960

GCD(440, 318) = 139920 / 69960

GCD(440, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 440, 318, 135, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 219, 593, 880
• GCD of 262, 305, 183, 876
• GCD of 906, 817, 808, 934
• GCD of 118, 912, 425, 975
• GCD of 425, 997, 885, 205

1. What is the GCD of 440, 318, 135, 214?

GCD of 440, 318, 135, 214 is 1

2. Where do I get the detailed procedure to find GCD of 440, 318, 135, 214?

You can find a detailed procedure to find GCD of 440, 318, 135, 214 on our page.

3. How to find GCD of 440, 318, 135, 214 on a calculator?

You can find the GCD of 440, 318, 135, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.