GCD of 39, 54, 42, 33 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 39, 54, 42, 33 quickly. Get the easiest ways to solve the greatest common divisor of 39, 54, 42, 33 i.e 3 in different methods as follows.
Given Input numbers are 39, 54, 42, 33
In the factoring method, we have to find the divisors of all numbers
Divisors of 39 :
The positive integer divisors of 39 that completely divides 39 are.
1, 3, 13, 39
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 33 :
The positive integer divisors of 33 that completely divides 33 are.
1, 3, 11, 33
GCD of numbers is the greatest common divisor
So, the GCD (39, 54, 42, 33) = 3.
Given numbers are 39, 54, 42, 33
The list of prime factors of all numbers are
Prime factors of 39 are 3 x 13
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 42 are 2 x 3 x 7
Prime factors of 33 are 3 x 11
The highest common occurrence is 31
Therefore, GCD of 39, 54, 42, 33 is 3.
Steps to Calculate GCD of 39, 54, 42, 33 using LCM Formula
Given numbers are 39, 54, 42, 33
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(39, 54) = 702
GCD(39, 54) = ( 39 x 54 ) / 702
= 39 / 54
= 39
Step2:
LCM(3, 42) = 42
GCD(3, 42) = ( 3 x 42 ) / 42
= 3 / 42
= 3
Step3:
LCM(3, 33) = 33
GCD(3, 33) = ( 3 x 33 ) / 33
= 3 / 33
= 3
So, Greatest Common Divisor of 39, 54, 42, 33 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 39, 54, 42, 33
Given numbers are 39, 54, 42, 33
The greatest common divisor of numbers 39, 54, 42, 33 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 39, 54, 42, 33 is 3.
FAQs on GCD of 39, 54, 42, 33 Calculator
1. What is the GCD of 39, 54, 42, 33?
GCD of given numbers 39, 54, 42, 33 is 3
2. How to calculate the greatest common divisor of 39, 54, 42, 33?
We can find the highest common divisor of 39, 54, 42, 33 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 39, 54, 42, 33 i.e 3.
3. How can I use the GCD of 39, 54, 42, 33Calculator?
Out the numbers 39, 54, 42, 33 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.