GCD of 42, 310, 348, 290 Calculator

Given Input numbers are 42, 310, 348, 290

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 42, 310, 348, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 310, 348, 290 is 2.

Therefore, GCD of numbers 42, 310, 348, 290 is 2

Given Input Data is 42, 310, 348, 290

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 310 is 2 x 5 x 31

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

Prime Factorization of 290 is 2 x 5 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(42, 310) = 6510

GCD(42, 310) = ( 42 x 310 ) / 6510

GCD(42, 310) = 13020 / 6510

GCD(42, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 42, 310, 348, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 743, 658, 550
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• GCD of 78, 546, 878, 214

1. What is the GCD of 42, 310, 348, 290?

GCD of 42, 310, 348, 290 is 2

2. Where do I get the detailed procedure to find GCD of 42, 310, 348, 290?

You can find a detailed procedure to find GCD of 42, 310, 348, 290 on our page.

3. How to find GCD of 42, 310, 348, 290 on a calculator?

You can find the GCD of 42, 310, 348, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.