GCD of 617, 348, 48, 422 Calculator

Given Input numbers are 617, 348, 48, 422

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 617, 348, 48, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 348, 48, 422 is 1.

Therefore, GCD of numbers 617, 348, 48, 422 is 1

Given Input Data is 617, 348, 48, 422

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

Prime Factorization of 617 is 617

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 422 is 2 x 211

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(617, 348) = 214716

GCD(617, 348) = ( 617 x 348 ) / 214716

GCD(617, 348) = 214716 / 214716

GCD(617, 348) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 617, 348, 48, 422 is 1

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• GCD of 412, 641, 88, 750
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1. What is the GCD of 617, 348, 48, 422?

GCD of 617, 348, 48, 422 is 1

2. Where do I get the detailed procedure to find GCD of 617, 348, 48, 422?

You can find a detailed procedure to find GCD of 617, 348, 48, 422 on our page.

3. How to find GCD of 617, 348, 48, 422 on a calculator?

You can find the GCD of 617, 348, 48, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.