GCD of 346, 328, 528, 332 Calculator

Given Input numbers are 346, 328, 528, 332

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 346, 328, 528, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 328, 528, 332 is 2.

Therefore, GCD of numbers 346, 328, 528, 332 is 2

Given Input Data is 346, 328, 528, 332

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

Prime Factorization of 346 is 2 x 173

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 332 is 2 x 2 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(346, 328) = 56744

GCD(346, 328) = ( 346 x 328 ) / 56744

GCD(346, 328) = 113488 / 56744

GCD(346, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 332

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

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

GCD(2, 332) = 664 / 332

GCD(2, 332) = 2

GCD of 346, 328, 528, 332 is 2

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1. What is the GCD of 346, 328, 528, 332?

GCD of 346, 328, 528, 332 is 2

2. Where do I get the detailed procedure to find GCD of 346, 328, 528, 332?

You can find a detailed procedure to find GCD of 346, 328, 528, 332 on our page.

3. How to find GCD of 346, 328, 528, 332 on a calculator?

You can find the GCD of 346, 328, 528, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.