GCD of 441, 303, 54, 501 Calculator

Given Input numbers are 441, 303, 54, 501

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

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 441, 303, 54, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 303, 54, 501 is 3.

Therefore, GCD of numbers 441, 303, 54, 501 is 3

Given Input Data is 441, 303, 54, 501

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

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 501 is 3 x 167

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(441, 303) = 44541

GCD(441, 303) = ( 441 x 303 ) / 44541

GCD(441, 303) = 133623 / 44541

GCD(441, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 501

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

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

GCD(3, 501) = 1503 / 501

GCD(3, 501) = 3

GCD of 441, 303, 54, 501 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 591, 71, 153
• GCD of 611, 186, 23, 183
• GCD of 762, 681, 41, 592
• GCD of 392, 319, 96, 982
• GCD of 282, 862, 26, 575

1. What is the GCD of 441, 303, 54, 501?

GCD of 441, 303, 54, 501 is 3

2. Where do I get the detailed procedure to find GCD of 441, 303, 54, 501?

You can find a detailed procedure to find GCD of 441, 303, 54, 501 on our page.

3. How to find GCD of 441, 303, 54, 501 on a calculator?

You can find the GCD of 441, 303, 54, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.