GCD of 513, 906, 699 Calculator

Given Input numbers are 513, 906, 699

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 513, 906, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 906, 699 is 3.

Therefore, GCD of numbers 513, 906, 699 is 3

Given Input Data is 513, 906, 699

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 906 is 2 x 3 x 151

Prime Factorization of 699 is 3 x 233

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, 906) = 154926

GCD(513, 906) = ( 513 x 906 ) / 154926

GCD(513, 906) = 464778 / 154926

GCD(513, 906) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 699

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

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

GCD(3, 699) = 2097 / 699

GCD(3, 699) = 3

GCD of 513, 906, 699 is 3

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1. What is the GCD of 513, 906, 699?

GCD of 513, 906, 699 is 3

2. Where do I get the detailed procedure to find GCD of 513, 906, 699?

You can find a detailed procedure to find GCD of 513, 906, 699 on our page.

3. How to find GCD of 513, 906, 699 on a calculator?

You can find the GCD of 513, 906, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.