GCD of 441, 624, 23, 553 Calculator

Given Input numbers are 441, 624, 23, 553

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 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 441, 624, 23, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 624, 23, 553 is 1.

Therefore, GCD of numbers 441, 624, 23, 553 is 1

Given Input Data is 441, 624, 23, 553

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 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 23 is 23

Prime Factorization of 553 is 7 x 79

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(441, 624) = 91728

GCD(441, 624) = ( 441 x 624 ) / 91728

GCD(441, 624) = 275184 / 91728

GCD(441, 624) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 441, 624, 23, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 858, 14, 601
• GCD of 921, 798, 72, 615
• GCD of 585, 936, 93, 733
• GCD of 552, 299, 45, 915
• GCD of 252, 328, 33, 711

1. What is the GCD of 441, 624, 23, 553?

GCD of 441, 624, 23, 553 is 1

2. Where do I get the detailed procedure to find GCD of 441, 624, 23, 553?

You can find a detailed procedure to find GCD of 441, 624, 23, 553 on our page.

3. How to find GCD of 441, 624, 23, 553 on a calculator?

You can find the GCD of 441, 624, 23, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.