GCD of 165, 517, 682 Calculator

Given Input numbers are 165, 517, 682

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 165, 517, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 517, 682 is 11.

Therefore, GCD of numbers 165, 517, 682 is 11

Given Input Data is 165, 517, 682

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 517 is 11 x 47

Prime Factorization of 682 is 2 x 11 x 31

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(165, 517) = 7755

GCD(165, 517) = ( 165 x 517 ) / 7755

GCD(165, 517) = 85305 / 7755

GCD(165, 517) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 682

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

LCM(11, 682) = 682

GCD(11, 682) = ( 11 x 682 ) / 682

GCD(11, 682) = 7502 / 682

GCD(11, 682) = 11

GCD of 165, 517, 682 is 11

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1. What is the GCD of 165, 517, 682?

GCD of 165, 517, 682 is 11

2. Where do I get the detailed procedure to find GCD of 165, 517, 682?

You can find a detailed procedure to find GCD of 165, 517, 682 on our page.

3. How to find GCD of 165, 517, 682 on a calculator?

You can find the GCD of 165, 517, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.