GCD of 528, 348, 14 Calculator

Given Input numbers are 528, 348, 14

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

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 528, 348, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 348, 14 is 2.

Therefore, GCD of numbers 528, 348, 14 is 2

Given Input Data is 528, 348, 14

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

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 14 is 2 x 7

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(528, 348) = 15312

GCD(528, 348) = ( 528 x 348 ) / 15312

GCD(528, 348) = 183744 / 15312

GCD(528, 348) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 14

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

LCM(12, 14) = 84

GCD(12, 14) = ( 12 x 14 ) / 84

GCD(12, 14) = 168 / 84

GCD(12, 14) = 2

GCD of 528, 348, 14 is 2

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• GCD of 268, 795, 53
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1. What is the GCD of 528, 348, 14?

GCD of 528, 348, 14 is 2

2. Where do I get the detailed procedure to find GCD of 528, 348, 14?

You can find a detailed procedure to find GCD of 528, 348, 14 on our page.

3. How to find GCD of 528, 348, 14 on a calculator?

You can find the GCD of 528, 348, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.