GCD of 14, 68, 38, 34 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 14, 68, 38, 34 quickly. Get the easiest ways to solve the greatest common divisor of 14, 68, 38, 34 i.e 2 in different methods as follows.
Given Input numbers are 14, 68, 38, 34
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 68 :
The positive integer divisors of 68 that completely divides 68 are.
1, 2, 4, 17, 34, 68
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 34 :
The positive integer divisors of 34 that completely divides 34 are.
1, 2, 17, 34
GCD of numbers is the greatest common divisor
So, the GCD (14, 68, 38, 34) = 2.
Given numbers are 14, 68, 38, 34
The list of prime factors of all numbers are
Prime factors of 14 are 2 x 7
Prime factors of 68 are 2 x 2 x 17
Prime factors of 38 are 2 x 19
Prime factors of 34 are 2 x 17
The highest common occurrence is 21
Therefore, GCD of 14, 68, 38, 34 is 2.
Steps to Calculate GCD of 14, 68, 38, 34 using LCM Formula
Given numbers are 14, 68, 38, 34
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(14, 68) = 476
GCD(14, 68) = ( 14 x 68 ) / 476
= 14 / 68
= 14
Step2:
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
= 2 / 38
= 2
Step3:
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
= 2 / 34
= 2
So, Greatest Common Divisor of 14, 68, 38, 34 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 14, 68, 38, 34
Given numbers are 14, 68, 38, 34
The greatest common divisor of numbers 14, 68, 38, 34 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 14, 68, 38, 34 is 2.
FAQs on GCD of 14, 68, 38, 34 Calculator
1. What is the GCD of 14, 68, 38, 34?
GCD of given numbers 14, 68, 38, 34 is 2
2. How to calculate the greatest common divisor of 14, 68, 38, 34?
We can find the highest common divisor of 14, 68, 38, 34 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, 68, 38, 34 i.e 2.
3. How can I use the GCD of 14, 68, 38, 34Calculator?
Out the numbers 14, 68, 38, 34 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.