GCD of 360, 924, 528 Calculator

Given Input numbers are 360, 924, 528

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 360, 924, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 924, 528 is 12.

Therefore, GCD of numbers 360, 924, 528 is 12

Given Input Data is 360, 924, 528

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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(360, 924) = 27720

GCD(360, 924) = ( 360 x 924 ) / 27720

GCD(360, 924) = 332640 / 27720

GCD(360, 924) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 528

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

LCM(12, 528) = 528

GCD(12, 528) = ( 12 x 528 ) / 528

GCD(12, 528) = 6336 / 528

GCD(12, 528) = 12

GCD of 360, 924, 528 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 701, 880
• GCD of 364, 793, 362
• GCD of 353, 972, 164
• GCD of 716, 907, 124
• GCD of 280, 274, 848

1. What is the GCD of 360, 924, 528?

GCD of 360, 924, 528 is 12

2. Where do I get the detailed procedure to find GCD of 360, 924, 528?

You can find a detailed procedure to find GCD of 360, 924, 528 on our page.

3. How to find GCD of 360, 924, 528 on a calculator?

You can find the GCD of 360, 924, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.