GCD of 321, 494, 132, 352 Calculator

Given Input numbers are 321, 494, 132, 352

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 321, 494, 132, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 494, 132, 352 is 1.

Therefore, GCD of numbers 321, 494, 132, 352 is 1

Given Input Data is 321, 494, 132, 352

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(321, 494) = 158574

GCD(321, 494) = ( 321 x 494 ) / 158574

GCD(321, 494) = 158574 / 158574

GCD(321, 494) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 321, 494, 132, 352 is 1

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1. What is the GCD of 321, 494, 132, 352?

GCD of 321, 494, 132, 352 is 1

2. Where do I get the detailed procedure to find GCD of 321, 494, 132, 352?

You can find a detailed procedure to find GCD of 321, 494, 132, 352 on our page.

3. How to find GCD of 321, 494, 132, 352 on a calculator?

You can find the GCD of 321, 494, 132, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.