GCD of 38, 65, 17, 96 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 38, 65, 17, 96 quickly. Get the easiest ways to solve the greatest common divisor of 38, 65, 17, 96 i.e 1 in different methods as follows.
Given Input numbers are 38, 65, 17, 96
In the factoring method, we have to find the divisors of all numbers
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 65 :
The positive integer divisors of 65 that completely divides 65 are.
1, 5, 13, 65
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD of numbers is the greatest common divisor
So, the GCD (38, 65, 17, 96) = 1.
Given numbers are 38, 65, 17, 96
The list of prime factors of all numbers are
Prime factors of 38 are 2 x 19
Prime factors of 65 are 5 x 13
Prime factors of 17 are 17
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 38, 65, 17, 96 using LCM Formula
Given numbers are 38, 65, 17, 96
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(38, 65) = 2470
GCD(38, 65) = ( 38 x 65 ) / 2470
= 38 / 65
= 38
Step2:
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
= 1 / 17
= 1
Step3:
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
= 1 / 96
= 1
So, Greatest Common Divisor of 38, 65, 17, 96 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 38, 65, 17, 96
Given numbers are 38, 65, 17, 96
The greatest common divisor of numbers 38, 65, 17, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 38, 65, 17, 96 is 1.
FAQs on GCD of 38, 65, 17, 96 Calculator
1. What is the GCD of 38, 65, 17, 96?
GCD of given numbers 38, 65, 17, 96 is 1
2. How to calculate the greatest common divisor of 38, 65, 17, 96?
We can find the highest common divisor of 38, 65, 17, 96 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 38, 65, 17, 96 i.e 1.
3. How can I use the GCD of 38, 65, 17, 96Calculator?
Out the numbers 38, 65, 17, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.