LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 27, 60, 30, 72 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 27, 60, 30, 72 quickly. Get the easiest ways to solve the greatest common divisor of 27, 60, 30, 72 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 27, 60, 30, 72 with Factoring?

Given Input numbers are 27, 60, 30, 72

In the factoring method, we have to find the divisors of all numbers

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

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


GCD of numbers is the greatest common divisor

So, the GCD (27, 60, 30, 72) = 3.

Find GCD of 27, 60, 30, 72 using Prime Factorization

Given numbers are 27, 60, 30, 72

The list of prime factors of all numbers are

Prime factors of 27 are 3 x 3 x 3

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 30 are 2 x 3 x 5

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 27, 60, 30, 72 is 3.

Steps to Calculate GCD of 27, 60, 30, 72 using LCM Formula

Given numbers are 27, 60, 30, 72

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(27, 60) = 540

GCD(27, 60) = ( 27 x 60 ) / 540

= 27 / 60

= 27


Step2:

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

= 3 / 30

= 3


Step3:

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

= 3 / 72

= 3


So, Greatest Common Divisor of 27, 60, 30, 72 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 27, 60, 30, 72

Given numbers are 27, 60, 30, 72
The greatest common divisor of numbers 27, 60, 30, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 27, 60, 30, 72 is 3.

FAQs on GCD of 27, 60, 30, 72 Calculator

1. What is the GCD of 27, 60, 30, 72?

GCD of given numbers 27, 60, 30, 72 is 3


2. How to calculate the greatest common divisor of 27, 60, 30, 72?

We can find the highest common divisor of 27, 60, 30, 72 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 27, 60, 30, 72 i.e 3.


3. How can I use the GCD of 27, 60, 30, 72Calculator?

Out the numbers 27, 60, 30, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.