GCD of 218, 238, 54, 140 Calculator

Given Input numbers are 218, 238, 54, 140

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 218, 238, 54, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 238, 54, 140 is 2.

Therefore, GCD of numbers 218, 238, 54, 140 is 2

Given Input Data is 218, 238, 54, 140

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(218, 238) = 25942

GCD(218, 238) = ( 218 x 238 ) / 25942

GCD(218, 238) = 51884 / 25942

GCD(218, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

GCD of 218, 238, 54, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 387, 65, 443
• GCD of 641, 166, 85, 936
• GCD of 219, 837, 43, 325
• GCD of 448, 323, 87, 449
• GCD of 929, 772, 67, 176

1. What is the GCD of 218, 238, 54, 140?

GCD of 218, 238, 54, 140 is 2

2. Where do I get the detailed procedure to find GCD of 218, 238, 54, 140?

You can find a detailed procedure to find GCD of 218, 238, 54, 140 on our page.

3. How to find GCD of 218, 238, 54, 140 on a calculator?

You can find the GCD of 218, 238, 54, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.