GCD of 144, 726, 99, 441 Calculator

Given Input numbers are 144, 726, 99, 441

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

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 144, 726, 99, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 726, 99, 441 is 3.

Therefore, GCD of numbers 144, 726, 99, 441 is 3

Given Input Data is 144, 726, 99, 441

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

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 441 is 3 x 3 x 7 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(144, 726) = 17424

GCD(144, 726) = ( 144 x 726 ) / 17424

GCD(144, 726) = 104544 / 17424

GCD(144, 726) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 99

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

LCM(6, 99) = 198

GCD(6, 99) = ( 6 x 99 ) / 198

GCD(6, 99) = 594 / 198

GCD(6, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 441

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

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

GCD(3, 441) = 1323 / 441

GCD(3, 441) = 3

GCD of 144, 726, 99, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 831, 45, 141
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• GCD of 436, 955, 44, 406

1. What is the GCD of 144, 726, 99, 441?

GCD of 144, 726, 99, 441 is 3

2. Where do I get the detailed procedure to find GCD of 144, 726, 99, 441?

You can find a detailed procedure to find GCD of 144, 726, 99, 441 on our page.

3. How to find GCD of 144, 726, 99, 441 on a calculator?

You can find the GCD of 144, 726, 99, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.