GCD of 480, 960, 720 Calculator

Given Input numbers are 480, 960, 720

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 480, 960, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 960, 720 is 240.

Therefore, GCD of numbers 480, 960, 720 is 240

Given Input Data is 480, 960, 720

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2⁴ x 3¹ x 5¹

Multiplying them we get the GCD as 240

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(480, 960) = 960

GCD(480, 960) = ( 480 x 960 ) / 960

GCD(480, 960) = 460800 / 960

GCD(480, 960) = 480

Step2:

Here we consider the GCD from the above i.e. 480 as first number and the next as 720

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

LCM(480, 720) = 1440

GCD(480, 720) = ( 480 x 720 ) / 1440

GCD(480, 720) = 345600 / 1440

GCD(480, 720) = 240

GCD of 480, 960, 720 is 240

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 334, 418
• GCD of 874, 750, 796
• GCD of 388, 889, 259
• GCD of 116, 574, 724
• GCD of 826, 864, 198

1. What is the GCD of 480, 960, 720?

GCD of 480, 960, 720 is 240

2. Where do I get the detailed procedure to find GCD of 480, 960, 720?

You can find a detailed procedure to find GCD of 480, 960, 720 on our page.

3. How to find GCD of 480, 960, 720 on a calculator?

You can find the GCD of 480, 960, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.