GCD of 72, 78, 39, 30 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 72, 78, 39, 30 quickly. Get the easiest ways to solve the greatest common divisor of 72, 78, 39, 30 i.e 3 in different methods as follows.
Given Input numbers are 72, 78, 39, 30
In the factoring method, we have to find the divisors of all numbers
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 78 :
The positive integer divisors of 78 that completely divides 78 are.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 39 :
The positive integer divisors of 39 that completely divides 39 are.
1, 3, 13, 39
Divisors of 30 :
The positive integer divisors of 30 that completely divides 30 are.
1, 2, 3, 5, 6, 10, 15, 30
GCD of numbers is the greatest common divisor
So, the GCD (72, 78, 39, 30) = 3.
Given numbers are 72, 78, 39, 30
The list of prime factors of all numbers are
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 78 are 2 x 3 x 13
Prime factors of 39 are 3 x 13
Prime factors of 30 are 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 72, 78, 39, 30 is 3.
Steps to Calculate GCD of 72, 78, 39, 30 using LCM Formula
Given numbers are 72, 78, 39, 30
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(72, 78) = 936
GCD(72, 78) = ( 72 x 78 ) / 936
= 72 / 78
= 72
Step2:
LCM(6, 39) = 78
GCD(6, 39) = ( 6 x 39 ) / 78
= 6 / 39
= 6
Step3:
LCM(3, 30) = 30
GCD(3, 30) = ( 3 x 30 ) / 30
= 3 / 30
= 3
So, Greatest Common Divisor of 72, 78, 39, 30 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 72, 78, 39, 30
Given numbers are 72, 78, 39, 30
The greatest common divisor of numbers 72, 78, 39, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 72, 78, 39, 30 is 3.
FAQs on GCD of 72, 78, 39, 30 Calculator
1. What is the GCD of 72, 78, 39, 30?
GCD of given numbers 72, 78, 39, 30 is 3
2. How to calculate the greatest common divisor of 72, 78, 39, 30?
We can find the highest common divisor of 72, 78, 39, 30 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 72, 78, 39, 30 i.e 3.
3. How can I use the GCD of 72, 78, 39, 30Calculator?
Out the numbers 72, 78, 39, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.