GCD of 348, 108, 627, 253 Calculator

Given Input numbers are 348, 108, 627, 253

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 348, 108, 627, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 108, 627, 253 is 1.

Therefore, GCD of numbers 348, 108, 627, 253 is 1

Given Input Data is 348, 108, 627, 253

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 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 253 is 11 x 23

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, 108) = 3132

GCD(348, 108) = ( 348 x 108 ) / 3132

GCD(348, 108) = 37584 / 3132

GCD(348, 108) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 627

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

LCM(12, 627) = 2508

GCD(12, 627) = ( 12 x 627 ) / 2508

GCD(12, 627) = 7524 / 2508

GCD(12, 627) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 253

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

LCM(3, 253) = 759

GCD(3, 253) = ( 3 x 253 ) / 759

GCD(3, 253) = 759 / 759

GCD(3, 253) = 1

GCD of 348, 108, 627, 253 is 1

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• GCD of 487, 986, 704, 211
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1. What is the GCD of 348, 108, 627, 253?

GCD of 348, 108, 627, 253 is 1

2. Where do I get the detailed procedure to find GCD of 348, 108, 627, 253?

You can find a detailed procedure to find GCD of 348, 108, 627, 253 on our page.

3. How to find GCD of 348, 108, 627, 253 on a calculator?

You can find the GCD of 348, 108, 627, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.