GCD of 355, 270, 899 Calculator

Given Input numbers are 355, 270, 899

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 355, 270, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 270, 899 is 1.

Therefore, GCD of numbers 355, 270, 899 is 1

Given Input Data is 355, 270, 899

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 899 is 29 x 31

The above numbers do not have any common prime factor. So GCD is 1

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, 270) = 19170

GCD(355, 270) = ( 355 x 270 ) / 19170

GCD(355, 270) = 95850 / 19170

GCD(355, 270) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 899

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

LCM(5, 899) = 4495

GCD(5, 899) = ( 5 x 899 ) / 4495

GCD(5, 899) = 4495 / 4495

GCD(5, 899) = 1

GCD of 355, 270, 899 is 1

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1. What is the GCD of 355, 270, 899?

GCD of 355, 270, 899 is 1

2. Where do I get the detailed procedure to find GCD of 355, 270, 899?

You can find a detailed procedure to find GCD of 355, 270, 899 on our page.

3. How to find GCD of 355, 270, 899 on a calculator?

You can find the GCD of 355, 270, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.