GCD of 407, 112, 68, 348 Calculator

Given Input numbers are 407, 112, 68, 348

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 407, 112, 68, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 112, 68, 348 is 1.

Therefore, GCD of numbers 407, 112, 68, 348 is 1

Given Input Data is 407, 112, 68, 348

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 68 is 2 x 2 x 17

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

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(407, 112) = 45584

GCD(407, 112) = ( 407 x 112 ) / 45584

GCD(407, 112) = 45584 / 45584

GCD(407, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 407, 112, 68, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 692, 21, 867
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1. What is the GCD of 407, 112, 68, 348?

GCD of 407, 112, 68, 348 is 1

2. Where do I get the detailed procedure to find GCD of 407, 112, 68, 348?

You can find a detailed procedure to find GCD of 407, 112, 68, 348 on our page.

3. How to find GCD of 407, 112, 68, 348 on a calculator?

You can find the GCD of 407, 112, 68, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.