GCD of 855, 315, 80, 590 Calculator

Given Input numbers are 855, 315, 80, 590

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 855, 315, 80, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 315, 80, 590 is 5.

Therefore, GCD of numbers 855, 315, 80, 590 is 5

Given Input Data is 855, 315, 80, 590

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

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 590 is 2 x 5 x 59

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(855, 315) = 5985

GCD(855, 315) = ( 855 x 315 ) / 5985

GCD(855, 315) = 269325 / 5985

GCD(855, 315) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 80

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

LCM(45, 80) = 720

GCD(45, 80) = ( 45 x 80 ) / 720

GCD(45, 80) = 3600 / 720

GCD(45, 80) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 590

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

LCM(5, 590) = 590

GCD(5, 590) = ( 5 x 590 ) / 590

GCD(5, 590) = 2950 / 590

GCD(5, 590) = 5

GCD of 855, 315, 80, 590 is 5

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1. What is the GCD of 855, 315, 80, 590?

GCD of 855, 315, 80, 590 is 5

2. Where do I get the detailed procedure to find GCD of 855, 315, 80, 590?

You can find a detailed procedure to find GCD of 855, 315, 80, 590 on our page.

3. How to find GCD of 855, 315, 80, 590 on a calculator?

You can find the GCD of 855, 315, 80, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.