GCD of 327, 345, 988, 514 Calculator

Given Input numbers are 327, 345, 988, 514

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 327, 345, 988, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 345, 988, 514 is 1.

Therefore, GCD of numbers 327, 345, 988, 514 is 1

Given Input Data is 327, 345, 988, 514

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 514 is 2 x 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, 345) = 37605

GCD(327, 345) = ( 327 x 345 ) / 37605

GCD(327, 345) = 112815 / 37605

GCD(327, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 988

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

LCM(3, 988) = 2964

GCD(3, 988) = ( 3 x 988 ) / 2964

GCD(3, 988) = 2964 / 2964

GCD(3, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 327, 345, 988, 514 is 1

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• GCD of 120, 764, 488, 815
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• GCD of 386, 341, 976, 318

1. What is the GCD of 327, 345, 988, 514?

GCD of 327, 345, 988, 514 is 1

2. Where do I get the detailed procedure to find GCD of 327, 345, 988, 514?

You can find a detailed procedure to find GCD of 327, 345, 988, 514 on our page.

3. How to find GCD of 327, 345, 988, 514 on a calculator?

You can find the GCD of 327, 345, 988, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.