GCD of 240, 315, 57, 522 Calculator

Given Input numbers are 240, 315, 57, 522

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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

Greatest Common Divisior

We found the divisors of 240, 315, 57, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 315, 57, 522 is 3.

Therefore, GCD of numbers 240, 315, 57, 522 is 3

Given Input Data is 240, 315, 57, 522

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 57 is 3 x 19

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

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(240, 315) = 5040

GCD(240, 315) = ( 240 x 315 ) / 5040

GCD(240, 315) = 75600 / 5040

GCD(240, 315) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 57

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

LCM(15, 57) = 285

GCD(15, 57) = ( 15 x 57 ) / 285

GCD(15, 57) = 855 / 285

GCD(15, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 522

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

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

GCD(3, 522) = 1566 / 522

GCD(3, 522) = 3

GCD of 240, 315, 57, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 385, 83, 950
• GCD of 215, 205, 93, 606
• GCD of 930, 457, 64, 584
• GCD of 114, 606, 35, 166
• GCD of 798, 576, 10, 218

1. What is the GCD of 240, 315, 57, 522?

GCD of 240, 315, 57, 522 is 3

2. Where do I get the detailed procedure to find GCD of 240, 315, 57, 522?

You can find a detailed procedure to find GCD of 240, 315, 57, 522 on our page.

3. How to find GCD of 240, 315, 57, 522 on a calculator?

You can find the GCD of 240, 315, 57, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.