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GCD of 729, 375, 747, 936 Calculator

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


Online GCD Calculator is useful to find the GCD of 729, 375, 747, 936 quickly. Get the easiest ways to solve the greatest common divisor of 729, 375, 747, 936 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 729, 375, 747, 936 with Factoring?

Given Input numbers are 729, 375, 747, 936

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936


GCD of numbers is the greatest common divisor

So, the GCD (729, 375, 747, 936) = 3.

Find GCD of 729, 375, 747, 936 using Prime Factorization

Given numbers are 729, 375, 747, 936

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 747 are 3 x 3 x 83

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 31

Therefore, GCD of 729, 375, 747, 936 is 3.

Steps to Calculate GCD of 729, 375, 747, 936 using LCM Formula

Given numbers are 729, 375, 747, 936

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

Apply this formula for all numbers.

Step1:

LCM(729, 375) = 91125

GCD(729, 375) = ( 729 x 375 ) / 91125

= 729 / 375

= 729


Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3


Step3:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3


So, Greatest Common Divisor of 729, 375, 747, 936 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 729, 375, 747, 936

Given numbers are 729, 375, 747, 936
The greatest common divisor of numbers 729, 375, 747, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 375, 747, 936 is 3.

FAQs on GCD of 729, 375, 747, 936 Calculator

1. What is the GCD of 729, 375, 747, 936?

GCD of given numbers 729, 375, 747, 936 is 3


2. How to calculate the greatest common divisor of 729, 375, 747, 936?

We can find the highest common divisor of 729, 375, 747, 936 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 729, 375, 747, 936 i.e 3.


3. How can I use the GCD of 729, 375, 747, 936Calculator?

Out the numbers 729, 375, 747, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.