GCD of 270, 554, 68 Calculator

Given Input numbers are 270, 554, 68

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Greatest Common Divisior

We found the divisors of 270, 554, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 554, 68 is 2.

Therefore, GCD of numbers 270, 554, 68 is 2

Given Input Data is 270, 554, 68

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 554 is 2 x 277

Prime Factorization of 68 is 2 x 2 x 17

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(270, 554) = 74790

GCD(270, 554) = ( 270 x 554 ) / 74790

GCD(270, 554) = 149580 / 74790

GCD(270, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

GCD of 270, 554, 68 is 2

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1. What is the GCD of 270, 554, 68?

GCD of 270, 554, 68 is 2

2. Where do I get the detailed procedure to find GCD of 270, 554, 68?

You can find a detailed procedure to find GCD of 270, 554, 68 on our page.

3. How to find GCD of 270, 554, 68 on a calculator?

You can find the GCD of 270, 554, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.