GCD of 270, 547, 802, 180 Calculator

Given Input numbers are 270, 547, 802, 180

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 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 270, 547, 802, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 547, 802, 180 is 1.

Therefore, GCD of numbers 270, 547, 802, 180 is 1

Given Input Data is 270, 547, 802, 180

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 547 is 547

Prime Factorization of 802 is 2 x 401

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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, 547) = 147690

GCD(270, 547) = ( 270 x 547 ) / 147690

GCD(270, 547) = 147690 / 147690

GCD(270, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 270, 547, 802, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 222, 869, 940
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• GCD of 671, 475, 769, 260

1. What is the GCD of 270, 547, 802, 180?

GCD of 270, 547, 802, 180 is 1

2. Where do I get the detailed procedure to find GCD of 270, 547, 802, 180?

You can find a detailed procedure to find GCD of 270, 547, 802, 180 on our page.

3. How to find GCD of 270, 547, 802, 180 on a calculator?

You can find the GCD of 270, 547, 802, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.