GCD of 348, 346, 407, 130 Calculator

Given Input numbers are 348, 346, 407, 130

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 346

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

1, 2, 173, 346

Divisors of 407

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

1, 11, 37, 407

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 348, 346, 407, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 346, 407, 130 is 1.

Therefore, GCD of numbers 348, 346, 407, 130 is 1

Given Input Data is 348, 346, 407, 130

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 346 is 2 x 173

Prime Factorization of 407 is 11 x 37

Prime Factorization of 130 is 2 x 5 x 13

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, 346) = 60204

GCD(348, 346) = ( 348 x 346 ) / 60204

GCD(348, 346) = 120408 / 60204

GCD(348, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 348, 346, 407, 130 is 1

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1. What is the GCD of 348, 346, 407, 130?

GCD of 348, 346, 407, 130 is 1

2. Where do I get the detailed procedure to find GCD of 348, 346, 407, 130?

You can find a detailed procedure to find GCD of 348, 346, 407, 130 on our page.

3. How to find GCD of 348, 346, 407, 130 on a calculator?

You can find the GCD of 348, 346, 407, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.