GCD of 115, 269, 914, 270 Calculator

Given Input numbers are 115, 269, 914, 270

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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

Greatest Common Divisior

We found the divisors of 115, 269, 914, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 269, 914, 270 is 1.

Therefore, GCD of numbers 115, 269, 914, 270 is 1

Given Input Data is 115, 269, 914, 270

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 269 is 269

Prime Factorization of 914 is 2 x 457

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

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(115, 269) = 30935

GCD(115, 269) = ( 115 x 269 ) / 30935

GCD(115, 269) = 30935 / 30935

GCD(115, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 115, 269, 914, 270 is 1

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1. What is the GCD of 115, 269, 914, 270?

GCD of 115, 269, 914, 270 is 1

2. Where do I get the detailed procedure to find GCD of 115, 269, 914, 270?

You can find a detailed procedure to find GCD of 115, 269, 914, 270 on our page.

3. How to find GCD of 115, 269, 914, 270 on a calculator?

You can find the GCD of 115, 269, 914, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.