GCD of 805, 270, 900, 258 Calculator

Given Input numbers are 805, 270, 900, 258

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 805, 270, 900, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 270, 900, 258 is 1.

Therefore, GCD of numbers 805, 270, 900, 258 is 1

Given Input Data is 805, 270, 900, 258

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

Prime Factorization of 805 is 5 x 7 x 23

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 258 is 2 x 3 x 43

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(805, 270) = 43470

GCD(805, 270) = ( 805 x 270 ) / 43470

GCD(805, 270) = 217350 / 43470

GCD(805, 270) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 900

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

LCM(5, 900) = 900

GCD(5, 900) = ( 5 x 900 ) / 900

GCD(5, 900) = 4500 / 900

GCD(5, 900) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 258

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

LCM(5, 258) = 1290

GCD(5, 258) = ( 5 x 258 ) / 1290

GCD(5, 258) = 1290 / 1290

GCD(5, 258) = 1

GCD of 805, 270, 900, 258 is 1

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1. What is the GCD of 805, 270, 900, 258?

GCD of 805, 270, 900, 258 is 1

2. Where do I get the detailed procedure to find GCD of 805, 270, 900, 258?

You can find a detailed procedure to find GCD of 805, 270, 900, 258 on our page.

3. How to find GCD of 805, 270, 900, 258 on a calculator?

You can find the GCD of 805, 270, 900, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.