GCD of 540, 855, 243, 860 Calculator

Given Input numbers are 540, 855, 243, 860

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 540, 855, 243, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 855, 243, 860 is 1.

Therefore, GCD of numbers 540, 855, 243, 860 is 1

Given Input Data is 540, 855, 243, 860

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 860 is 2 x 2 x 5 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(540, 855) = 10260

GCD(540, 855) = ( 540 x 855 ) / 10260

GCD(540, 855) = 461700 / 10260

GCD(540, 855) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 243

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

LCM(45, 243) = 1215

GCD(45, 243) = ( 45 x 243 ) / 1215

GCD(45, 243) = 10935 / 1215

GCD(45, 243) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 860

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

LCM(9, 860) = 7740

GCD(9, 860) = ( 9 x 860 ) / 7740

GCD(9, 860) = 7740 / 7740

GCD(9, 860) = 1

GCD of 540, 855, 243, 860 is 1

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• GCD of 841, 529, 326, 655
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1. What is the GCD of 540, 855, 243, 860?

GCD of 540, 855, 243, 860 is 1

2. Where do I get the detailed procedure to find GCD of 540, 855, 243, 860?

You can find a detailed procedure to find GCD of 540, 855, 243, 860 on our page.

3. How to find GCD of 540, 855, 243, 860 on a calculator?

You can find the GCD of 540, 855, 243, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.