GCD of 270, 815, 798, 768 Calculator

Given Input numbers are 270, 815, 798, 768

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

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 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 270, 815, 798, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 815, 798, 768 is 1.

Therefore, GCD of numbers 270, 815, 798, 768 is 1

Given Input Data is 270, 815, 798, 768

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

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

Prime Factorization of 815 is 5 x 163

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(270, 815) = 44010

GCD(270, 815) = ( 270 x 815 ) / 44010

GCD(270, 815) = 220050 / 44010

GCD(270, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 798

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

LCM(5, 798) = 3990

GCD(5, 798) = ( 5 x 798 ) / 3990

GCD(5, 798) = 3990 / 3990

GCD(5, 798) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 270, 815, 798, 768 is 1

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1. What is the GCD of 270, 815, 798, 768?

GCD of 270, 815, 798, 768 is 1

2. Where do I get the detailed procedure to find GCD of 270, 815, 798, 768?

You can find a detailed procedure to find GCD of 270, 815, 798, 768 on our page.

3. How to find GCD of 270, 815, 798, 768 on a calculator?

You can find the GCD of 270, 815, 798, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.