GCD of 48, 346, 349, 427 Calculator

Given Input numbers are 48, 346, 349, 427

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

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 48, 346, 349, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 346, 349, 427 is 1.

Therefore, GCD of numbers 48, 346, 349, 427 is 1

Given Input Data is 48, 346, 349, 427

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

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 349 is 349

Prime Factorization of 427 is 7 x 61

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(48, 346) = 8304

GCD(48, 346) = ( 48 x 346 ) / 8304

GCD(48, 346) = 16608 / 8304

GCD(48, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 48, 346, 349, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 632, 442, 553
• GCD of 28, 961, 141, 477
• GCD of 53, 477, 983, 386
• GCD of 39, 806, 111, 256
• GCD of 25, 324, 684, 613

1. What is the GCD of 48, 346, 349, 427?

GCD of 48, 346, 349, 427 is 1

2. Where do I get the detailed procedure to find GCD of 48, 346, 349, 427?

You can find a detailed procedure to find GCD of 48, 346, 349, 427 on our page.

3. How to find GCD of 48, 346, 349, 427 on a calculator?

You can find the GCD of 48, 346, 349, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.