GCD of 336, 380, 50, 270 Calculator

Given Input numbers are 336, 380, 50, 270

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 336, 380, 50, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 380, 50, 270 is 2.

Therefore, GCD of numbers 336, 380, 50, 270 is 2

Given Input Data is 336, 380, 50, 270

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 270 is 2 x 3 x 3 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, 380) = 31920

GCD(336, 380) = ( 336 x 380 ) / 31920

GCD(336, 380) = 127680 / 31920

GCD(336, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 50

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

LCM(4, 50) = 100

GCD(4, 50) = ( 4 x 50 ) / 100

GCD(4, 50) = 200 / 100

GCD(4, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 336, 380, 50, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 847, 83, 157
• GCD of 166, 319, 98, 194
• GCD of 725, 665, 29, 263
• GCD of 171, 411, 52, 383
• GCD of 451, 252, 70, 407

1. What is the GCD of 336, 380, 50, 270?

GCD of 336, 380, 50, 270 is 2

2. Where do I get the detailed procedure to find GCD of 336, 380, 50, 270?

You can find a detailed procedure to find GCD of 336, 380, 50, 270 on our page.

3. How to find GCD of 336, 380, 50, 270 on a calculator?

You can find the GCD of 336, 380, 50, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.