GCD of 484, 260, 52, 720 Calculator

Given Input numbers are 484, 260, 52, 720

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 484, 260, 52, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 260, 52, 720 is 4.

Therefore, GCD of numbers 484, 260, 52, 720 is 4

Given Input Data is 484, 260, 52, 720

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 52 is 2 x 2 x 13

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 2²

Multiplying them we get the GCD as 4

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(484, 260) = 31460

GCD(484, 260) = ( 484 x 260 ) / 31460

GCD(484, 260) = 125840 / 31460

GCD(484, 260) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 720

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

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

GCD(4, 720) = 2880 / 720

GCD(4, 720) = 4

GCD of 484, 260, 52, 720 is 4

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1. What is the GCD of 484, 260, 52, 720?

GCD of 484, 260, 52, 720 is 4

2. Where do I get the detailed procedure to find GCD of 484, 260, 52, 720?

You can find a detailed procedure to find GCD of 484, 260, 52, 720 on our page.

3. How to find GCD of 484, 260, 52, 720 on a calculator?

You can find the GCD of 484, 260, 52, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.