GCD of 327, 648, 347, 441 Calculator

Given Input numbers are 327, 648, 347, 441

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 327, 648, 347, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 648, 347, 441 is 1.

Therefore, GCD of numbers 327, 648, 347, 441 is 1

Given Input Data is 327, 648, 347, 441

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 347 is 347

Prime Factorization of 441 is 3 x 3 x 7 x 7

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, 648) = 70632

GCD(327, 648) = ( 327 x 648 ) / 70632

GCD(327, 648) = 211896 / 70632

GCD(327, 648) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 347

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

LCM(3, 347) = 1041

GCD(3, 347) = ( 3 x 347 ) / 1041

GCD(3, 347) = 1041 / 1041

GCD(3, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 327, 648, 347, 441 is 1

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1. What is the GCD of 327, 648, 347, 441?

GCD of 327, 648, 347, 441 is 1

2. Where do I get the detailed procedure to find GCD of 327, 648, 347, 441?

You can find a detailed procedure to find GCD of 327, 648, 347, 441 on our page.

3. How to find GCD of 327, 648, 347, 441 on a calculator?

You can find the GCD of 327, 648, 347, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.