GCD of 270, 771, 15, 803 Calculator

Given Input numbers are 270, 771, 15, 803

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 270, 771, 15, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 771, 15, 803 is 1.

Therefore, GCD of numbers 270, 771, 15, 803 is 1

Given Input Data is 270, 771, 15, 803

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 771 is 3 x 257

Prime Factorization of 15 is 3 x 5

Prime Factorization of 803 is 11 x 73

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, 771) = 69390

GCD(270, 771) = ( 270 x 771 ) / 69390

GCD(270, 771) = 208170 / 69390

GCD(270, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 803

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

LCM(3, 803) = 2409

GCD(3, 803) = ( 3 x 803 ) / 2409

GCD(3, 803) = 2409 / 2409

GCD(3, 803) = 1

GCD of 270, 771, 15, 803 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 453, 14, 434
• GCD of 847, 198, 62, 922
• GCD of 496, 710, 33, 665
• GCD of 254, 366, 69, 768
• GCD of 469, 937, 88, 638

1. What is the GCD of 270, 771, 15, 803?

GCD of 270, 771, 15, 803 is 1

2. Where do I get the detailed procedure to find GCD of 270, 771, 15, 803?

You can find a detailed procedure to find GCD of 270, 771, 15, 803 on our page.

3. How to find GCD of 270, 771, 15, 803 on a calculator?

You can find the GCD of 270, 771, 15, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.