GCD of 480, 325, 805, 365 Calculator

Given Input numbers are 480, 325, 805, 365

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 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 480, 325, 805, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 325, 805, 365 is 5.

Therefore, GCD of numbers 480, 325, 805, 365 is 5

Given Input Data is 480, 325, 805, 365

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 325 is 5 x 5 x 13

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 365 is 5 x 73

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 325) = 31200

GCD(480, 325) = ( 480 x 325 ) / 31200

GCD(480, 325) = 156000 / 31200

GCD(480, 325) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 805

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

LCM(5, 805) = 805

GCD(5, 805) = ( 5 x 805 ) / 805

GCD(5, 805) = 4025 / 805

GCD(5, 805) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 365

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

LCM(5, 365) = 365

GCD(5, 365) = ( 5 x 365 ) / 365

GCD(5, 365) = 1825 / 365

GCD(5, 365) = 5

GCD of 480, 325, 805, 365 is 5

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1. What is the GCD of 480, 325, 805, 365?

GCD of 480, 325, 805, 365 is 5

2. Where do I get the detailed procedure to find GCD of 480, 325, 805, 365?

You can find a detailed procedure to find GCD of 480, 325, 805, 365 on our page.

3. How to find GCD of 480, 325, 805, 365 on a calculator?

You can find the GCD of 480, 325, 805, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.