GCD of 146, 514, 240 Calculator

Given Input numbers are 146, 514, 240

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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

Greatest Common Divisior

We found the divisors of 146, 514, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 514, 240 is 2.

Therefore, GCD of numbers 146, 514, 240 is 2

Given Input Data is 146, 514, 240

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 514 is 2 x 257

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

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(146, 514) = 37522

GCD(146, 514) = ( 146 x 514 ) / 37522

GCD(146, 514) = 75044 / 37522

GCD(146, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 146, 514, 240 is 2

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1. What is the GCD of 146, 514, 240?

GCD of 146, 514, 240 is 2

2. Where do I get the detailed procedure to find GCD of 146, 514, 240?

You can find a detailed procedure to find GCD of 146, 514, 240 on our page.

3. How to find GCD of 146, 514, 240 on a calculator?

You can find the GCD of 146, 514, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.