GCD of 240, 416, 42, 336 Calculator

Given Input numbers are 240, 416, 42, 336

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 240, 416, 42, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 416, 42, 336 is 2.

Therefore, GCD of numbers 240, 416, 42, 336 is 2

Given Input Data is 240, 416, 42, 336

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(240, 416) = 6240

GCD(240, 416) = ( 240 x 416 ) / 6240

GCD(240, 416) = 99840 / 6240

GCD(240, 416) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 42

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

LCM(16, 42) = 336

GCD(16, 42) = ( 16 x 42 ) / 336

GCD(16, 42) = 672 / 336

GCD(16, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 336

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

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

GCD(2, 336) = 672 / 336

GCD(2, 336) = 2

GCD of 240, 416, 42, 336 is 2

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1. What is the GCD of 240, 416, 42, 336?

GCD of 240, 416, 42, 336 is 2

2. Where do I get the detailed procedure to find GCD of 240, 416, 42, 336?

You can find a detailed procedure to find GCD of 240, 416, 42, 336 on our page.

3. How to find GCD of 240, 416, 42, 336 on a calculator?

You can find the GCD of 240, 416, 42, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.