GCD of 338, 265, 42, 107 Calculator

Given Input numbers are 338, 265, 42, 107

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 338, 265, 42, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 265, 42, 107 is 1.

Therefore, GCD of numbers 338, 265, 42, 107 is 1

Given Input Data is 338, 265, 42, 107

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 265 is 5 x 53

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 107 is 107

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(338, 265) = 89570

GCD(338, 265) = ( 338 x 265 ) / 89570

GCD(338, 265) = 89570 / 89570

GCD(338, 265) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 338, 265, 42, 107 is 1

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1. What is the GCD of 338, 265, 42, 107?

GCD of 338, 265, 42, 107 is 1

2. Where do I get the detailed procedure to find GCD of 338, 265, 42, 107?

You can find a detailed procedure to find GCD of 338, 265, 42, 107 on our page.

3. How to find GCD of 338, 265, 42, 107 on a calculator?

You can find the GCD of 338, 265, 42, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.