GCD of 270, 153, 564, 727 Calculator

Given Input numbers are 270, 153, 564, 727

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 270, 153, 564, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 153, 564, 727 is 1.

Therefore, GCD of numbers 270, 153, 564, 727 is 1

Given Input Data is 270, 153, 564, 727

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 153 is 3 x 3 x 17

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 727 is 727

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, 153) = 4590

GCD(270, 153) = ( 270 x 153 ) / 4590

GCD(270, 153) = 41310 / 4590

GCD(270, 153) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 564

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

LCM(9, 564) = 1692

GCD(9, 564) = ( 9 x 564 ) / 1692

GCD(9, 564) = 5076 / 1692

GCD(9, 564) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 727

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

LCM(3, 727) = 2181

GCD(3, 727) = ( 3 x 727 ) / 2181

GCD(3, 727) = 2181 / 2181

GCD(3, 727) = 1

GCD of 270, 153, 564, 727 is 1

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1. What is the GCD of 270, 153, 564, 727?

GCD of 270, 153, 564, 727 is 1

2. Where do I get the detailed procedure to find GCD of 270, 153, 564, 727?

You can find a detailed procedure to find GCD of 270, 153, 564, 727 on our page.

3. How to find GCD of 270, 153, 564, 727 on a calculator?

You can find the GCD of 270, 153, 564, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.