GCD of 338, 348, 62, 528 Calculator

Given Input numbers are 338, 348, 62, 528

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

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

Greatest Common Divisior

We found the divisors of 338, 348, 62, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 348, 62, 528 is 2.

Therefore, GCD of numbers 338, 348, 62, 528 is 2

Given Input Data is 338, 348, 62, 528

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

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 62 is 2 x 31

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

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(338, 348) = 58812

GCD(338, 348) = ( 338 x 348 ) / 58812

GCD(338, 348) = 117624 / 58812

GCD(338, 348) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

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

GCD of 338, 348, 62, 528 is 2

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1. What is the GCD of 338, 348, 62, 528?

GCD of 338, 348, 62, 528 is 2

2. Where do I get the detailed procedure to find GCD of 338, 348, 62, 528?

You can find a detailed procedure to find GCD of 338, 348, 62, 528 on our page.

3. How to find GCD of 338, 348, 62, 528 on a calculator?

You can find the GCD of 338, 348, 62, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.