GCD of 270, 550, 54, 511 Calculator

Given Input numbers are 270, 550, 54, 511

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 270, 550, 54, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 550, 54, 511 is 1.

Therefore, GCD of numbers 270, 550, 54, 511 is 1

Given Input Data is 270, 550, 54, 511

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 550 is 2 x 5 x 5 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 511 is 7 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, 550) = 14850

GCD(270, 550) = ( 270 x 550 ) / 14850

GCD(270, 550) = 148500 / 14850

GCD(270, 550) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 54

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

LCM(10, 54) = 270

GCD(10, 54) = ( 10 x 54 ) / 270

GCD(10, 54) = 540 / 270

GCD(10, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 511

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

LCM(2, 511) = 1022

GCD(2, 511) = ( 2 x 511 ) / 1022

GCD(2, 511) = 1022 / 1022

GCD(2, 511) = 1

GCD of 270, 550, 54, 511 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 343, 56, 487
• GCD of 999, 549, 86, 597
• GCD of 997, 902, 47, 499
• GCD of 243, 205, 82, 427
• GCD of 455, 276, 30, 964

1. What is the GCD of 270, 550, 54, 511?

GCD of 270, 550, 54, 511 is 1

2. Where do I get the detailed procedure to find GCD of 270, 550, 54, 511?

You can find a detailed procedure to find GCD of 270, 550, 54, 511 on our page.

3. How to find GCD of 270, 550, 54, 511 on a calculator?

You can find the GCD of 270, 550, 54, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.