GCD of 289, 495, 93, 918 Calculator

Given Input numbers are 289, 495, 93, 918

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 289, 495, 93, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 495, 93, 918 is 1.

Therefore, GCD of numbers 289, 495, 93, 918 is 1

Given Input Data is 289, 495, 93, 918

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 93 is 3 x 31

Prime Factorization of 918 is 2 x 3 x 3 x 3 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(289, 495) = 143055

GCD(289, 495) = ( 289 x 495 ) / 143055

GCD(289, 495) = 143055 / 143055

GCD(289, 495) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 93

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

LCM(1, 93) = 93

GCD(1, 93) = ( 1 x 93 ) / 93

GCD(1, 93) = 93 / 93

GCD(1, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 289, 495, 93, 918 is 1

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1. What is the GCD of 289, 495, 93, 918?

GCD of 289, 495, 93, 918 is 1

2. Where do I get the detailed procedure to find GCD of 289, 495, 93, 918?

You can find a detailed procedure to find GCD of 289, 495, 93, 918 on our page.

3. How to find GCD of 289, 495, 93, 918 on a calculator?

You can find the GCD of 289, 495, 93, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.