GCD of 14, 64, 50 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 14, 64, 50 i.e. 2 largest integer that divides all the numbers equally.

GCD of 14, 64, 50 is 2

GCD(14, 64, 50) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 14, 64, 50 is 2

GCD(14, 64, 50) = 2

GCD of 14,64,50 Calculator

GCDof 14,64,50 is 2

Given Input numbers are 14, 64, 50

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 14, 64, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 64, 50 is 2.

Therefore, GCD of numbers 14, 64, 50 is 2

Finding GCD of 14, 64, 50 using Prime Factorization

Given Input Data is 14, 64, 50

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 50 is 2 x 5 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 14, 64, 50 using LCM Formula

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(14, 64) = 448

GCD(14, 64) = ( 14 x 64 ) / 448

GCD(14, 64) = 896 / 448

GCD(14, 64) = 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

GCD of 14, 64, 50 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 14, 64, 50

1. What is the GCD of 14, 64, 50?

GCD of 14, 64, 50 is 2

2. Where do I get the detailed procedure to find GCD of 14, 64, 50?

You can find a detailed procedure to find GCD of 14, 64, 50 on our page.

3. How to find GCD of 14, 64, 50 on a calculator?

You can find the GCD of 14, 64, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.