GCD of 340, 118, 255 Calculator

Given Input numbers are 340, 118, 255

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 340, 118, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 118, 255 is 1.

Therefore, GCD of numbers 340, 118, 255 is 1

Given Input Data is 340, 118, 255

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 118 is 2 x 59

Prime Factorization of 255 is 3 x 5 x 17

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(340, 118) = 20060

GCD(340, 118) = ( 340 x 118 ) / 20060

GCD(340, 118) = 40120 / 20060

GCD(340, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

GCD of 340, 118, 255 is 1

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1. What is the GCD of 340, 118, 255?

GCD of 340, 118, 255 is 1

2. Where do I get the detailed procedure to find GCD of 340, 118, 255?

You can find a detailed procedure to find GCD of 340, 118, 255 on our page.

3. How to find GCD of 340, 118, 255 on a calculator?

You can find the GCD of 340, 118, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.