GCD of 270, 838, 50, 367 Calculator

Given Input numbers are 270, 838, 50, 367

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

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 270, 838, 50, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 838, 50, 367 is 1.

Therefore, GCD of numbers 270, 838, 50, 367 is 1

Given Input Data is 270, 838, 50, 367

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 838 is 2 x 419

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 367 is 367

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(270, 838) = 113130

GCD(270, 838) = ( 270 x 838 ) / 113130

GCD(270, 838) = 226260 / 113130

GCD(270, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 367

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

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

GCD(2, 367) = 734 / 734

GCD(2, 367) = 1

GCD of 270, 838, 50, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 357, 26, 829
• GCD of 265, 306, 39, 976
• GCD of 738, 555, 44, 766
• GCD of 577, 762, 44, 889
• GCD of 990, 109, 24, 711

1. What is the GCD of 270, 838, 50, 367?

GCD of 270, 838, 50, 367 is 1

2. Where do I get the detailed procedure to find GCD of 270, 838, 50, 367?

You can find a detailed procedure to find GCD of 270, 838, 50, 367 on our page.

3. How to find GCD of 270, 838, 50, 367 on a calculator?

You can find the GCD of 270, 838, 50, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.