GCD of 513, 765, 18, 897 Calculator

Given Input numbers are 513, 765, 18, 897

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

Divisors of 513

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

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 513, 765, 18, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 765, 18, 897 is 3.

Therefore, GCD of numbers 513, 765, 18, 897 is 3

Given Input Data is 513, 765, 18, 897

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

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 897 is 3 x 13 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(513, 765) = 43605

GCD(513, 765) = ( 513 x 765 ) / 43605

GCD(513, 765) = 392445 / 43605

GCD(513, 765) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 18

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

LCM(9, 18) = 18

GCD(9, 18) = ( 9 x 18 ) / 18

GCD(9, 18) = 162 / 18

GCD(9, 18) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 897

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

LCM(9, 897) = 2691

GCD(9, 897) = ( 9 x 897 ) / 2691

GCD(9, 897) = 8073 / 2691

GCD(9, 897) = 3

GCD of 513, 765, 18, 897 is 3

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• GCD of 488, 232, 25, 129
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• GCD of 453, 170, 63, 721

1. What is the GCD of 513, 765, 18, 897?

GCD of 513, 765, 18, 897 is 3

2. Where do I get the detailed procedure to find GCD of 513, 765, 18, 897?

You can find a detailed procedure to find GCD of 513, 765, 18, 897 on our page.

3. How to find GCD of 513, 765, 18, 897 on a calculator?

You can find the GCD of 513, 765, 18, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.