GCD of 509, 270, 753 Calculator

Given Input numbers are 509, 270, 753

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 509, 270, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 270, 753 is 1.

Therefore, GCD of numbers 509, 270, 753 is 1

Given Input Data is 509, 270, 753

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

Prime Factorization of 509 is 509

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 753 is 3 x 251

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(509, 270) = 137430

GCD(509, 270) = ( 509 x 270 ) / 137430

GCD(509, 270) = 137430 / 137430

GCD(509, 270) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 509, 270, 753 is 1

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1. What is the GCD of 509, 270, 753?

GCD of 509, 270, 753 is 1

2. Where do I get the detailed procedure to find GCD of 509, 270, 753?

You can find a detailed procedure to find GCD of 509, 270, 753 on our page.

3. How to find GCD of 509, 270, 753 on a calculator?

You can find the GCD of 509, 270, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.