GCD of 17, 65, 14, 66 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 17, 65, 14, 66 quickly. Get the easiest ways to solve the greatest common divisor of 17, 65, 14, 66 i.e 1 in different methods as follows.
Given Input numbers are 17, 65, 14, 66
In the factoring method, we have to find the divisors of all numbers
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
Divisors of 65 :
The positive integer divisors of 65 that completely divides 65 are.
1, 5, 13, 65
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 66 :
The positive integer divisors of 66 that completely divides 66 are.
1, 2, 3, 6, 11, 22, 33, 66
GCD of numbers is the greatest common divisor
So, the GCD (17, 65, 14, 66) = 1.
Given numbers are 17, 65, 14, 66
The list of prime factors of all numbers are
Prime factors of 17 are 17
Prime factors of 65 are 5 x 13
Prime factors of 14 are 2 x 7
Prime factors of 66 are 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 17, 65, 14, 66 using LCM Formula
Given numbers are 17, 65, 14, 66
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(17, 65) = 1105
GCD(17, 65) = ( 17 x 65 ) / 1105
= 17 / 65
= 17
Step2:
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
= 1 / 14
= 1
Step3:
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
= 1 / 66
= 1
So, Greatest Common Divisor of 17, 65, 14, 66 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 17, 65, 14, 66
Given numbers are 17, 65, 14, 66
The greatest common divisor of numbers 17, 65, 14, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 17, 65, 14, 66 is 1.
FAQs on GCD of 17, 65, 14, 66 Calculator
1. What is the GCD of 17, 65, 14, 66?
GCD of given numbers 17, 65, 14, 66 is 1
2. How to calculate the greatest common divisor of 17, 65, 14, 66?
We can find the highest common divisor of 17, 65, 14, 66 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 17, 65, 14, 66 i.e 1.
3. How can I use the GCD of 17, 65, 14, 66Calculator?
Out the numbers 17, 65, 14, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.