GCD of 336, 860, 14, 240 Calculator

Given Input numbers are 336, 860, 14, 240

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

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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

Greatest Common Divisior

We found the divisors of 336, 860, 14, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 860, 14, 240 is 2.

Therefore, GCD of numbers 336, 860, 14, 240 is 2

Given Input Data is 336, 860, 14, 240

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

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 14 is 2 x 7

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

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(336, 860) = 72240

GCD(336, 860) = ( 336 x 860 ) / 72240

GCD(336, 860) = 288960 / 72240

GCD(336, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 336, 860, 14, 240 is 2

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• GCD of 472, 348, 15, 542
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1. What is the GCD of 336, 860, 14, 240?

GCD of 336, 860, 14, 240 is 2

2. Where do I get the detailed procedure to find GCD of 336, 860, 14, 240?

You can find a detailed procedure to find GCD of 336, 860, 14, 240 on our page.

3. How to find GCD of 336, 860, 14, 240 on a calculator?

You can find the GCD of 336, 860, 14, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.