GCD of 29, 14, 38, 68 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 29, 14, 38, 68 quickly. Get the easiest ways to solve the greatest common divisor of 29, 14, 38, 68 i.e 1 in different methods as follows.
Given Input numbers are 29, 14, 38, 68
In the factoring method, we have to find the divisors of all numbers
Divisors of 29 :
The positive integer divisors of 29 that completely divides 29 are.
1, 29
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 68 :
The positive integer divisors of 68 that completely divides 68 are.
1, 2, 4, 17, 34, 68
GCD of numbers is the greatest common divisor
So, the GCD (29, 14, 38, 68) = 1.
Given numbers are 29, 14, 38, 68
The list of prime factors of all numbers are
Prime factors of 29 are 29
Prime factors of 14 are 2 x 7
Prime factors of 38 are 2 x 19
Prime factors of 68 are 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 29, 14, 38, 68 using LCM Formula
Given numbers are 29, 14, 38, 68
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(29, 14) = 406
GCD(29, 14) = ( 29 x 14 ) / 406
= 29 / 14
= 29
Step2:
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
= 1 / 38
= 1
Step3:
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
= 1 / 68
= 1
So, Greatest Common Divisor of 29, 14, 38, 68 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 29, 14, 38, 68
Given numbers are 29, 14, 38, 68
The greatest common divisor of numbers 29, 14, 38, 68 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 29, 14, 38, 68 is 1.
FAQs on GCD of 29, 14, 38, 68 Calculator
1. What is the GCD of 29, 14, 38, 68?
GCD of given numbers 29, 14, 38, 68 is 1
2. How to calculate the greatest common divisor of 29, 14, 38, 68?
We can find the highest common divisor of 29, 14, 38, 68 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 29, 14, 38, 68 i.e 1.
3. How can I use the GCD of 29, 14, 38, 68Calculator?
Out the numbers 29, 14, 38, 68 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.