GCD of 48, 14, 31, 50 Calculator

Given Input numbers are 48, 14, 31, 50

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 14

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

1, 2, 7, 14

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 50

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

1, 2, 5, 10, 25, 50

Greatest Common Divisior

We found the divisors of 48, 14, 31, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 14, 31, 50 is 1.

Therefore, GCD of numbers 48, 14, 31, 50 is 1

Given Input Data is 48, 14, 31, 50

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 14 is 2 x 7

Prime Factorization of 31 is 31

Prime Factorization of 50 is 2 x 5 x 5

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(48, 14) = 336

GCD(48, 14) = ( 48 x 14 ) / 336

GCD(48, 14) = 672 / 336

GCD(48, 14) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

GCD of 48, 14, 31, 50 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 66, 63, 73
• GCD of 29, 11, 90, 38
• GCD of 47, 39, 13, 22
• GCD of 47, 48, 88, 37
• GCD of 71, 98, 42, 88

1. What is the GCD of 48, 14, 31, 50?

GCD of 48, 14, 31, 50 is 1

2. Where do I get the detailed procedure to find GCD of 48, 14, 31, 50?

You can find a detailed procedure to find GCD of 48, 14, 31, 50 on our page.

3. How to find GCD of 48, 14, 31, 50 on a calculator?

You can find the GCD of 48, 14, 31, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.