GCD of 327, 771, 807, 775 Calculator

Given Input numbers are 327, 771, 807, 775

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 327, 771, 807, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 771, 807, 775 is 1.

Therefore, GCD of numbers 327, 771, 807, 775 is 1

Given Input Data is 327, 771, 807, 775

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 771 is 3 x 257

Prime Factorization of 807 is 3 x 269

Prime Factorization of 775 is 5 x 5 x 31

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(327, 771) = 84039

GCD(327, 771) = ( 327 x 771 ) / 84039

GCD(327, 771) = 252117 / 84039

GCD(327, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 807

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

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

GCD(3, 807) = 2421 / 807

GCD(3, 807) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 775

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

LCM(3, 775) = 2325

GCD(3, 775) = ( 3 x 775 ) / 2325

GCD(3, 775) = 2325 / 2325

GCD(3, 775) = 1

GCD of 327, 771, 807, 775 is 1

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1. What is the GCD of 327, 771, 807, 775?

GCD of 327, 771, 807, 775 is 1

2. Where do I get the detailed procedure to find GCD of 327, 771, 807, 775?

You can find a detailed procedure to find GCD of 327, 771, 807, 775 on our page.

3. How to find GCD of 327, 771, 807, 775 on a calculator?

You can find the GCD of 327, 771, 807, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.