GCD of 32, 349, 328, 294 Calculator

Given Input numbers are 32, 349, 328, 294

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 32, 349, 328, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 349, 328, 294 is 1.

Therefore, GCD of numbers 32, 349, 328, 294 is 1

Given Input Data is 32, 349, 328, 294

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 349 is 349

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 294 is 2 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(32, 349) = 11168

GCD(32, 349) = ( 32 x 349 ) / 11168

GCD(32, 349) = 11168 / 11168

GCD(32, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 32, 349, 328, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 607, 302, 264
• GCD of 84, 848, 813, 846
• GCD of 80, 550, 404, 597
• GCD of 52, 454, 722, 568
• GCD of 66, 459, 156, 644

1. What is the GCD of 32, 349, 328, 294?

GCD of 32, 349, 328, 294 is 1

2. Where do I get the detailed procedure to find GCD of 32, 349, 328, 294?

You can find a detailed procedure to find GCD of 32, 349, 328, 294 on our page.

3. How to find GCD of 32, 349, 328, 294 on a calculator?

You can find the GCD of 32, 349, 328, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.