GCD of 354, 880, 884, 327 Calculator

Given Input numbers are 354, 880, 884, 327

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 327

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

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 354, 880, 884, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 880, 884, 327 is 1.

Therefore, GCD of numbers 354, 880, 884, 327 is 1

Given Input Data is 354, 880, 884, 327

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 327 is 3 x 109

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(354, 880) = 155760

GCD(354, 880) = ( 354 x 880 ) / 155760

GCD(354, 880) = 311520 / 155760

GCD(354, 880) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 327

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

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

GCD(2, 327) = 654 / 654

GCD(2, 327) = 1

GCD of 354, 880, 884, 327 is 1

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1. What is the GCD of 354, 880, 884, 327?

GCD of 354, 880, 884, 327 is 1

2. Where do I get the detailed procedure to find GCD of 354, 880, 884, 327?

You can find a detailed procedure to find GCD of 354, 880, 884, 327 on our page.

3. How to find GCD of 354, 880, 884, 327 on a calculator?

You can find the GCD of 354, 880, 884, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.