GCD of 810, 296, 25, 144 Calculator

Given Input numbers are 810, 296, 25, 144

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 810, 296, 25, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 296, 25, 144 is 1.

Therefore, GCD of numbers 810, 296, 25, 144 is 1

Given Input Data is 810, 296, 25, 144

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 25 is 5 x 5

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(810, 296) = 119880

GCD(810, 296) = ( 810 x 296 ) / 119880

GCD(810, 296) = 239760 / 119880

GCD(810, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

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 810, 296, 25, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 782, 43, 550
• GCD of 323, 593, 81, 141
• GCD of 541, 741, 22, 335
• GCD of 245, 992, 75, 823
• GCD of 752, 467, 97, 469

1. What is the GCD of 810, 296, 25, 144?

GCD of 810, 296, 25, 144 is 1

2. Where do I get the detailed procedure to find GCD of 810, 296, 25, 144?

You can find a detailed procedure to find GCD of 810, 296, 25, 144 on our page.

3. How to find GCD of 810, 296, 25, 144 on a calculator?

You can find the GCD of 810, 296, 25, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.