GCD of 348, 528, 478, 227 Calculator

Given Input numbers are 348, 528, 478, 227

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

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 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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 348, 528, 478, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 528, 478, 227 is 1.

Therefore, GCD of numbers 348, 528, 478, 227 is 1

Given Input Data is 348, 528, 478, 227

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

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

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 227 is 227

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(348, 528) = 15312

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

GCD(348, 528) = 183744 / 15312

GCD(348, 528) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 478

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

LCM(12, 478) = 2868

GCD(12, 478) = ( 12 x 478 ) / 2868

GCD(12, 478) = 5736 / 2868

GCD(12, 478) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 227

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

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

GCD(2, 227) = 454 / 454

GCD(2, 227) = 1

GCD of 348, 528, 478, 227 is 1

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1. What is the GCD of 348, 528, 478, 227?

GCD of 348, 528, 478, 227 is 1

2. Where do I get the detailed procedure to find GCD of 348, 528, 478, 227?

You can find a detailed procedure to find GCD of 348, 528, 478, 227 on our page.

3. How to find GCD of 348, 528, 478, 227 on a calculator?

You can find the GCD of 348, 528, 478, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.