GCD of 240, 522, 372 Calculator

Given Input numbers are 240, 522, 372

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 240, 522, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 522, 372 is 6.

Therefore, GCD of numbers 240, 522, 372 is 6

Given Input Data is 240, 522, 372

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(240, 522) = 20880

GCD(240, 522) = ( 240 x 522 ) / 20880

GCD(240, 522) = 125280 / 20880

GCD(240, 522) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 372

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

LCM(6, 372) = 372

GCD(6, 372) = ( 6 x 372 ) / 372

GCD(6, 372) = 2232 / 372

GCD(6, 372) = 6

GCD of 240, 522, 372 is 6

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1. What is the GCD of 240, 522, 372?

GCD of 240, 522, 372 is 6

2. Where do I get the detailed procedure to find GCD of 240, 522, 372?

You can find a detailed procedure to find GCD of 240, 522, 372 on our page.

3. How to find GCD of 240, 522, 372 on a calculator?

You can find the GCD of 240, 522, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.