GCD of 327, 165, 31, 257 Calculator

Given Input numbers are 327, 165, 31, 257

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 165

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

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 327, 165, 31, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 165, 31, 257 is 1.

Therefore, GCD of numbers 327, 165, 31, 257 is 1

Given Input Data is 327, 165, 31, 257

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 31 is 31

Prime Factorization of 257 is 257

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, 165) = 17985

GCD(327, 165) = ( 327 x 165 ) / 17985

GCD(327, 165) = 53955 / 17985

GCD(327, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 327, 165, 31, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 903, 23, 820
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• GCD of 887, 555, 52, 363
• GCD of 853, 251, 28, 737
• GCD of 158, 656, 82, 436

1. What is the GCD of 327, 165, 31, 257?

GCD of 327, 165, 31, 257 is 1

2. Where do I get the detailed procedure to find GCD of 327, 165, 31, 257?

You can find a detailed procedure to find GCD of 327, 165, 31, 257 on our page.

3. How to find GCD of 327, 165, 31, 257 on a calculator?

You can find the GCD of 327, 165, 31, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.