GCD of 576, 522, 42, 117 Calculator

Given Input numbers are 576, 522, 42, 117

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 576, 522, 42, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 522, 42, 117 is 3.

Therefore, GCD of numbers 576, 522, 42, 117 is 3

Given Input Data is 576, 522, 42, 117

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 117 is 3 x 3 x 13

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(576, 522) = 16704

GCD(576, 522) = ( 576 x 522 ) / 16704

GCD(576, 522) = 300672 / 16704

GCD(576, 522) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 42

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

LCM(18, 42) = 126

GCD(18, 42) = ( 18 x 42 ) / 126

GCD(18, 42) = 756 / 126

GCD(18, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 117

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

LCM(6, 117) = 234

GCD(6, 117) = ( 6 x 117 ) / 234

GCD(6, 117) = 702 / 234

GCD(6, 117) = 3

GCD of 576, 522, 42, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 996, 30, 220
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• GCD of 497, 837, 56, 113
• GCD of 221, 320, 82, 665
• GCD of 413, 196, 47, 582

1. What is the GCD of 576, 522, 42, 117?

GCD of 576, 522, 42, 117 is 3

2. Where do I get the detailed procedure to find GCD of 576, 522, 42, 117?

You can find a detailed procedure to find GCD of 576, 522, 42, 117 on our page.

3. How to find GCD of 576, 522, 42, 117 on a calculator?

You can find the GCD of 576, 522, 42, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.