GCD of 289, 457, 750, 270 Calculator

Given Input numbers are 289, 457, 750, 270

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 289, 457, 750, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 457, 750, 270 is 1.

Therefore, GCD of numbers 289, 457, 750, 270 is 1

Given Input Data is 289, 457, 750, 270

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 457 is 457

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(289, 457) = 132073

GCD(289, 457) = ( 289 x 457 ) / 132073

GCD(289, 457) = 132073 / 132073

GCD(289, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 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 289, 457, 750, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 606, 738, 683
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• GCD of 738, 565, 398, 272

1. What is the GCD of 289, 457, 750, 270?

GCD of 289, 457, 750, 270 is 1

2. Where do I get the detailed procedure to find GCD of 289, 457, 750, 270?

You can find a detailed procedure to find GCD of 289, 457, 750, 270 on our page.

3. How to find GCD of 289, 457, 750, 270 on a calculator?

You can find the GCD of 289, 457, 750, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.