GCD of 153, 289, 885 Calculator

Given Input numbers are 153, 289, 885

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 289

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

1, 17, 289

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Greatest Common Divisior

We found the divisors of 153, 289, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 289, 885 is 1.

Therefore, GCD of numbers 153, 289, 885 is 1

Given Input Data is 153, 289, 885

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 289 is 17 x 17

Prime Factorization of 885 is 3 x 5 x 59

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(153, 289) = 2601

GCD(153, 289) = ( 153 x 289 ) / 2601

GCD(153, 289) = 44217 / 2601

GCD(153, 289) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 885

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

LCM(17, 885) = 15045

GCD(17, 885) = ( 17 x 885 ) / 15045

GCD(17, 885) = 15045 / 15045

GCD(17, 885) = 1

GCD of 153, 289, 885 is 1

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1. What is the GCD of 153, 289, 885?

GCD of 153, 289, 885 is 1

2. Where do I get the detailed procedure to find GCD of 153, 289, 885?

You can find a detailed procedure to find GCD of 153, 289, 885 on our page.

3. How to find GCD of 153, 289, 885 on a calculator?

You can find the GCD of 153, 289, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.