GCD of 224, 848, 318, 348 Calculator

Given Input numbers are 224, 848, 318, 348

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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

Greatest Common Divisior

We found the divisors of 224, 848, 318, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 848, 318, 348 is 2.

Therefore, GCD of numbers 224, 848, 318, 348 is 2

Given Input Data is 224, 848, 318, 348

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 318 is 2 x 3 x 53

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

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(224, 848) = 11872

GCD(224, 848) = ( 224 x 848 ) / 11872

GCD(224, 848) = 189952 / 11872

GCD(224, 848) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 318

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

LCM(16, 318) = 2544

GCD(16, 318) = ( 16 x 318 ) / 2544

GCD(16, 318) = 5088 / 2544

GCD(16, 318) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 224, 848, 318, 348 is 2

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1. What is the GCD of 224, 848, 318, 348?

GCD of 224, 848, 318, 348 is 2

2. Where do I get the detailed procedure to find GCD of 224, 848, 318, 348?

You can find a detailed procedure to find GCD of 224, 848, 318, 348 on our page.

3. How to find GCD of 224, 848, 318, 348 on a calculator?

You can find the GCD of 224, 848, 318, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.