GCD of 240, 314, 48, 230 Calculator

Given Input numbers are 240, 314, 48, 230

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 240, 314, 48, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 314, 48, 230 is 2.

Therefore, GCD of numbers 240, 314, 48, 230 is 2

Given Input Data is 240, 314, 48, 230

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 314 is 2 x 157

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 230 is 2 x 5 x 23

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(240, 314) = 37680

GCD(240, 314) = ( 240 x 314 ) / 37680

GCD(240, 314) = 75360 / 37680

GCD(240, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 230

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

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

GCD(2, 230) = 460 / 230

GCD(2, 230) = 2

GCD of 240, 314, 48, 230 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 757, 91, 841
• GCD of 451, 829, 29, 613
• GCD of 401, 968, 48, 152
• GCD of 413, 917, 98, 535
• GCD of 210, 623, 62, 722

1. What is the GCD of 240, 314, 48, 230?

GCD of 240, 314, 48, 230 is 2

2. Where do I get the detailed procedure to find GCD of 240, 314, 48, 230?

You can find a detailed procedure to find GCD of 240, 314, 48, 230 on our page.

3. How to find GCD of 240, 314, 48, 230 on a calculator?

You can find the GCD of 240, 314, 48, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.