GCD of 998, 825, 144 Calculator

Given Input numbers are 998, 825, 144

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 998, 825, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 825, 144 is 1.

Therefore, GCD of numbers 998, 825, 144 is 1

Given Input Data is 998, 825, 144

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(998, 825) = 823350

GCD(998, 825) = ( 998 x 825 ) / 823350

GCD(998, 825) = 823350 / 823350

GCD(998, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 998, 825, 144 is 1

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1. What is the GCD of 998, 825, 144?

GCD of 998, 825, 144 is 1

2. Where do I get the detailed procedure to find GCD of 998, 825, 144?

You can find a detailed procedure to find GCD of 998, 825, 144 on our page.

3. How to find GCD of 998, 825, 144 on a calculator?

You can find the GCD of 998, 825, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.