GCD of 160, 270, 513 Calculator

Given Input numbers are 160, 270, 513

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 160, 270, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 270, 513 is 1.

Therefore, GCD of numbers 160, 270, 513 is 1

Given Input Data is 160, 270, 513

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(160, 270) = 4320

GCD(160, 270) = ( 160 x 270 ) / 4320

GCD(160, 270) = 43200 / 4320

GCD(160, 270) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 513

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

LCM(10, 513) = 5130

GCD(10, 513) = ( 10 x 513 ) / 5130

GCD(10, 513) = 5130 / 5130

GCD(10, 513) = 1

GCD of 160, 270, 513 is 1

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1. What is the GCD of 160, 270, 513?

GCD of 160, 270, 513 is 1

2. Where do I get the detailed procedure to find GCD of 160, 270, 513?

You can find a detailed procedure to find GCD of 160, 270, 513 on our page.

3. How to find GCD of 160, 270, 513 on a calculator?

You can find the GCD of 160, 270, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.