GCD of 81, 72, 38, 89 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 81, 72, 38, 89 quickly. Get the easiest ways to solve the greatest common divisor of 81, 72, 38, 89 i.e 1 in different methods as follows.
Given Input numbers are 81, 72, 38, 89
In the factoring method, we have to find the divisors of all numbers
Divisors of 81 :
The positive integer divisors of 81 that completely divides 81 are.
1, 3, 9, 27, 81
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 89 :
The positive integer divisors of 89 that completely divides 89 are.
1, 89
GCD of numbers is the greatest common divisor
So, the GCD (81, 72, 38, 89) = 1.
Given numbers are 81, 72, 38, 89
The list of prime factors of all numbers are
Prime factors of 81 are 3 x 3 x 3 x 3
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 38 are 2 x 19
Prime factors of 89 are 89
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 81, 72, 38, 89 using LCM Formula
Given numbers are 81, 72, 38, 89
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(81, 72) = 648
GCD(81, 72) = ( 81 x 72 ) / 648
= 81 / 72
= 81
Step2:
LCM(9, 38) = 342
GCD(9, 38) = ( 9 x 38 ) / 342
= 9 / 38
= 9
Step3:
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
= 1 / 89
= 1
So, Greatest Common Divisor of 81, 72, 38, 89 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 81, 72, 38, 89
Given numbers are 81, 72, 38, 89
The greatest common divisor of numbers 81, 72, 38, 89 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 81, 72, 38, 89 is 1.
FAQs on GCD of 81, 72, 38, 89 Calculator
1. What is the GCD of 81, 72, 38, 89?
GCD of given numbers 81, 72, 38, 89 is 1
2. How to calculate the greatest common divisor of 81, 72, 38, 89?
We can find the highest common divisor of 81, 72, 38, 89 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 81, 72, 38, 89 i.e 1.
3. How can I use the GCD of 81, 72, 38, 89Calculator?
Out the numbers 81, 72, 38, 89 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.