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GCD of 14, 92, 38 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 14, 92, 38 quickly. Get the easiest ways to solve the greatest common divisor of 14, 92, 38 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 14, 92, 38 with Factoring?

Given Input numbers are 14, 92, 38

In the factoring method, we have to find the divisors of all numbers

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38


GCD of numbers is the greatest common divisor

So, the GCD (14, 92, 38) = 2.

Find GCD of 14, 92, 38 using Prime Factorization

Given numbers are 14, 92, 38

The list of prime factors of all numbers are

Prime factors of 14 are 2 x 7

Prime factors of 92 are 2 x 2 x 23

Prime factors of 38 are 2 x 19

The highest common occurrence is 21

Therefore, GCD of 14, 92, 38 is 2.

Steps to Calculate GCD of 14, 92, 38 using LCM Formula

Given numbers are 14, 92, 38

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(14, 92) = 644

GCD(14, 92) = ( 14 x 92 ) / 644

= 14 / 92

= 14


Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2


So, Greatest Common Divisor of 14, 92, 38 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 14, 92, 38

Given numbers are 14, 92, 38
The greatest common divisor of numbers 14, 92, 38 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 14, 92, 38 is 2.

FAQs on GCD of 14, 92, 38 Calculator

1. What is the GCD of 14, 92, 38?

GCD of given numbers 14, 92, 38 is 2


2. How to calculate the greatest common divisor of 14, 92, 38?

We can find the highest common divisor of 14, 92, 38 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 14, 92, 38 i.e 2.


3. How can I use the GCD of 14, 92, 38Calculator?

Out the numbers 14, 92, 38 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.