GCD of 657, 171, 765 Calculator

Given Input numbers are 657, 171, 765

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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

Greatest Common Divisior

We found the divisors of 657, 171, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 171, 765 is 9.

Therefore, GCD of numbers 657, 171, 765 is 9

Given Input Data is 657, 171, 765

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 171 is 3 x 3 x 19

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

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(657, 171) = 12483

GCD(657, 171) = ( 657 x 171 ) / 12483

GCD(657, 171) = 112347 / 12483

GCD(657, 171) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 765

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

LCM(9, 765) = 765

GCD(9, 765) = ( 9 x 765 ) / 765

GCD(9, 765) = 6885 / 765

GCD(9, 765) = 9

GCD of 657, 171, 765 is 9

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1. What is the GCD of 657, 171, 765?

GCD of 657, 171, 765 is 9

2. Where do I get the detailed procedure to find GCD of 657, 171, 765?

You can find a detailed procedure to find GCD of 657, 171, 765 on our page.

3. How to find GCD of 657, 171, 765 on a calculator?

You can find the GCD of 657, 171, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.