GCD of 936, 729, 732, 849 Calculator

Given Input numbers are 936, 729, 732, 849

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

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

Divisors of 729 :

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

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (936, 729, 732, 849) = 3.

Given numbers are 936, 729, 732, 849

The list of prime factors of all numbers are

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

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 936, 729, 732, 849 is 3.

Given numbers are 936, 729, 732, 849

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

Apply this formula for all numbers.

Step1:

LCM(936, 729) = 75816

GCD(936, 729) = ( 936 x 729 ) / 75816

= 936 / 729

= 936

Step2:

LCM(9, 732) = 2196

GCD(9, 732) = ( 9 x 732 ) / 2196

= 9 / 732

= 9

Step3:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

So, Greatest Common Divisor of 936, 729, 732, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 728, 339, 594
• GCD of 288, 747, 443, 535
• GCD of 493, 767, 318, 236
• GCD of 140, 850, 165, 548
• GCD of 502, 714, 680, 211

Given numbers are 936, 729, 732, 849
The greatest common divisor of numbers 936, 729, 732, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 729, 732, 849 is 3.

1. What is the GCD of 936, 729, 732, 849?

GCD of given numbers 936, 729, 732, 849 is 3

2. How to calculate the greatest common divisor of 936, 729, 732, 849?

We can find the highest common divisor of 936, 729, 732, 849 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 936, 729, 732, 849 i.e 3.

3. How can I use the GCD of 936, 729, 732, 849Calculator?

Out the numbers 936, 729, 732, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.