GCD of 765, 409, 195, 871 Calculator

Given Input numbers are 765, 409, 195, 871

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

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 765, 409, 195, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 409, 195, 871 is 1.

Therefore, GCD of numbers 765, 409, 195, 871 is 1

Given Input Data is 765, 409, 195, 871

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

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

Prime Factorization of 409 is 409

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 871 is 13 x 67

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(765, 409) = 312885

GCD(765, 409) = ( 765 x 409 ) / 312885

GCD(765, 409) = 312885 / 312885

GCD(765, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 765, 409, 195, 871 is 1

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1. What is the GCD of 765, 409, 195, 871?

GCD of 765, 409, 195, 871 is 1

2. Where do I get the detailed procedure to find GCD of 765, 409, 195, 871?

You can find a detailed procedure to find GCD of 765, 409, 195, 871 on our page.

3. How to find GCD of 765, 409, 195, 871 on a calculator?

You can find the GCD of 765, 409, 195, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.