GCD of 355, 660, 485 Calculator

Given Input numbers are 355, 660, 485

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 355, 660, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 660, 485 is 5.

Therefore, GCD of numbers 355, 660, 485 is 5

Given Input Data is 355, 660, 485

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 485 is 5 x 97

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(355, 660) = 46860

GCD(355, 660) = ( 355 x 660 ) / 46860

GCD(355, 660) = 234300 / 46860

GCD(355, 660) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 485

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

LCM(5, 485) = 485

GCD(5, 485) = ( 5 x 485 ) / 485

GCD(5, 485) = 2425 / 485

GCD(5, 485) = 5

GCD of 355, 660, 485 is 5

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1. What is the GCD of 355, 660, 485?

GCD of 355, 660, 485 is 5

2. Where do I get the detailed procedure to find GCD of 355, 660, 485?

You can find a detailed procedure to find GCD of 355, 660, 485 on our page.

3. How to find GCD of 355, 660, 485 on a calculator?

You can find the GCD of 355, 660, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.