GCD of 270, 254, 280 Calculator

Given Input numbers are 270, 254, 280

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 270, 254, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 254, 280 is 2.

Therefore, GCD of numbers 270, 254, 280 is 2

Given Input Data is 270, 254, 280

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 254 is 2 x 127

Prime Factorization of 280 is 2 x 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(270, 254) = 34290

GCD(270, 254) = ( 270 x 254 ) / 34290

GCD(270, 254) = 68580 / 34290

GCD(270, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 280

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

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

GCD(2, 280) = 560 / 280

GCD(2, 280) = 2

GCD of 270, 254, 280 is 2

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1. What is the GCD of 270, 254, 280?

GCD of 270, 254, 280 is 2

2. Where do I get the detailed procedure to find GCD of 270, 254, 280?

You can find a detailed procedure to find GCD of 270, 254, 280 on our page.

3. How to find GCD of 270, 254, 280 on a calculator?

You can find the GCD of 270, 254, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.