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GCD of 927, 894, 24, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 927, 894, 24, 189 quickly. Get the easiest ways to solve the greatest common divisor of 927, 894, 24, 189 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 927, 894, 24, 189 with Factoring?

Given Input numbers are 927, 894, 24, 189

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

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189


GCD of numbers is the greatest common divisor

So, the GCD (927, 894, 24, 189) = 3.

Find GCD of 927, 894, 24, 189 using Prime Factorization

Given numbers are 927, 894, 24, 189

The list of prime factors of all numbers are

Prime factors of 927 are 3 x 3 x 103

Prime factors of 894 are 2 x 3 x 149

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 189 are 3 x 3 x 3 x 7

The highest common occurrence is 31

Therefore, GCD of 927, 894, 24, 189 is 3.

Steps to Calculate GCD of 927, 894, 24, 189 using LCM Formula

Given numbers are 927, 894, 24, 189

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

Apply this formula for all numbers.

Step1:

LCM(927, 894) = 276246

GCD(927, 894) = ( 927 x 894 ) / 276246

= 927 / 894

= 927


Step2:

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

= 3 / 24

= 3


Step3:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3


So, Greatest Common Divisor of 927, 894, 24, 189 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 927, 894, 24, 189

Given numbers are 927, 894, 24, 189
The greatest common divisor of numbers 927, 894, 24, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 894, 24, 189 is 3.

FAQs on GCD of 927, 894, 24, 189 Calculator

1. What is the GCD of 927, 894, 24, 189?

GCD of given numbers 927, 894, 24, 189 is 3


2. How to calculate the greatest common divisor of 927, 894, 24, 189?

We can find the highest common divisor of 927, 894, 24, 189 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 927, 894, 24, 189 i.e 3.


3. How can I use the GCD of 927, 894, 24, 189Calculator?

Out the numbers 927, 894, 24, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.