GCD of 309, 835, 99, 765 Calculator

Given Input numbers are 309, 835, 99, 765

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 309, 835, 99, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 835, 99, 765 is 1.

Therefore, GCD of numbers 309, 835, 99, 765 is 1

Given Input Data is 309, 835, 99, 765

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 835 is 5 x 167

Prime Factorization of 99 is 3 x 3 x 11

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

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(309, 835) = 258015

GCD(309, 835) = ( 309 x 835 ) / 258015

GCD(309, 835) = 258015 / 258015

GCD(309, 835) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 309, 835, 99, 765 is 1

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1. What is the GCD of 309, 835, 99, 765?

GCD of 309, 835, 99, 765 is 1

2. Where do I get the detailed procedure to find GCD of 309, 835, 99, 765?

You can find a detailed procedure to find GCD of 309, 835, 99, 765 on our page.

3. How to find GCD of 309, 835, 99, 765 on a calculator?

You can find the GCD of 309, 835, 99, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.