GCD of 315, 315, 80, 620 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 315, 315, 80, 620 i.e. 5 largest integer that divides all the numbers equally.

GCD of 315, 315, 80, 620 is 5

GCD(315, 315, 80, 620) = 5

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 315, 315, 80, 620 is 5

GCD(315, 315, 80, 620) = 5

GCD of 315,315,80,620 Calculator

GCDof 315,315,80,620 is 5

Given Input numbers are 315, 315, 80, 620

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 315, 315, 80, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 315, 80, 620 is 5.

Therefore, GCD of numbers 315, 315, 80, 620 is 5

Finding GCD of 315, 315, 80, 620 using Prime Factorization

Given Input Data is 315, 315, 80, 620

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 620 is 2 x 2 x 5 x 31

Highest common occurrences in the given inputs are 51

Multiplying them we get the GCD as 5

Finding GCD of 315, 315, 80, 620 using LCM Formula

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(315, 315) = 315

GCD(315, 315) = ( 315 x 315 ) / 315

GCD(315, 315) = 99225 / 315

GCD(315, 315) = 315


Step2:

Here we consider the GCD from the above i.e. 315 as first number and the next as 80

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

LCM(315, 80) = 5040

GCD(315, 80) = ( 315 x 80 ) / 5040

GCD(315, 80) = 25200 / 5040

GCD(315, 80) = 5


Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 620

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

LCM(5, 620) = 620

GCD(5, 620) = ( 5 x 620 ) / 620

GCD(5, 620) = 3100 / 620

GCD(5, 620) = 5

GCD of 315, 315, 80, 620 is 5

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 315, 315, 80, 620

1. What is the GCD of 315, 315, 80, 620?

GCD of 315, 315, 80, 620 is 5


2. Where do I get the detailed procedure to find GCD of 315, 315, 80, 620?

You can find a detailed procedure to find GCD of 315, 315, 80, 620 on our page.


3. How to find GCD of 315, 315, 80, 620 on a calculator?

You can find the GCD of 315, 315, 80, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.