GCD of 995, 480, 325, 395 Calculator

Given Input numbers are 995, 480, 325, 395

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

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 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 995, 480, 325, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 480, 325, 395 is 5.

Therefore, GCD of numbers 995, 480, 325, 395 is 5

Given Input Data is 995, 480, 325, 395

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

Prime Factorization of 995 is 5 x 199

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 395 is 5 x 79

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(995, 480) = 95520

GCD(995, 480) = ( 995 x 480 ) / 95520

GCD(995, 480) = 477600 / 95520

GCD(995, 480) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 325

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

LCM(5, 325) = 325

GCD(5, 325) = ( 5 x 325 ) / 325

GCD(5, 325) = 1625 / 325

GCD(5, 325) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 395

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

LCM(5, 395) = 395

GCD(5, 395) = ( 5 x 395 ) / 395

GCD(5, 395) = 1975 / 395

GCD(5, 395) = 5

GCD of 995, 480, 325, 395 is 5

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1. What is the GCD of 995, 480, 325, 395?

GCD of 995, 480, 325, 395 is 5

2. Where do I get the detailed procedure to find GCD of 995, 480, 325, 395?

You can find a detailed procedure to find GCD of 995, 480, 325, 395 on our page.

3. How to find GCD of 995, 480, 325, 395 on a calculator?

You can find the GCD of 995, 480, 325, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.