GCD of 32, 440, 506, 360 Calculator

Given Input numbers are 32, 440, 506, 360

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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

Greatest Common Divisior

We found the divisors of 32, 440, 506, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 440, 506, 360 is 2.

Therefore, GCD of numbers 32, 440, 506, 360 is 2

Given Input Data is 32, 440, 506, 360

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 506 is 2 x 11 x 23

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(32, 440) = 1760

GCD(32, 440) = ( 32 x 440 ) / 1760

GCD(32, 440) = 14080 / 1760

GCD(32, 440) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 506

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

LCM(8, 506) = 2024

GCD(8, 506) = ( 8 x 506 ) / 2024

GCD(8, 506) = 4048 / 2024

GCD(8, 506) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

GCD of 32, 440, 506, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 445, 794, 207
• GCD of 57, 630, 456, 751
• GCD of 47, 793, 478, 137
• GCD of 14, 161, 962, 166
• GCD of 55, 512, 466, 224

1. What is the GCD of 32, 440, 506, 360?

GCD of 32, 440, 506, 360 is 2

2. Where do I get the detailed procedure to find GCD of 32, 440, 506, 360?

You can find a detailed procedure to find GCD of 32, 440, 506, 360 on our page.

3. How to find GCD of 32, 440, 506, 360 on a calculator?

You can find the GCD of 32, 440, 506, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.