GCD of 729, 892, 764, 966 Calculator

Given Input numbers are 729, 892, 764, 966

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (729, 892, 764, 966) = 1.

Given numbers are 729, 892, 764, 966

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 892 are 2 x 2 x 223

Prime factors of 764 are 2 x 2 x 191

Prime factors of 966 are 2 x 3 x 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 729, 892, 764, 966

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

Apply this formula for all numbers.

Step1:

LCM(729, 892) = 650268

GCD(729, 892) = ( 729 x 892 ) / 650268

= 729 / 892

= 729

Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 729, 892, 764, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 269, 591, 204
• GCD of 913, 341, 391, 148
• GCD of 678, 762, 920, 102
• GCD of 755, 259, 379, 564
• GCD of 342, 285, 982, 828

Given numbers are 729, 892, 764, 966
The greatest common divisor of numbers 729, 892, 764, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 892, 764, 966 is 1.

1. What is the GCD of 729, 892, 764, 966?

GCD of given numbers 729, 892, 764, 966 is 1

2. How to calculate the greatest common divisor of 729, 892, 764, 966?

We can find the highest common divisor of 729, 892, 764, 966 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, 892, 764, 966 i.e 1.

3. How can I use the GCD of 729, 892, 764, 966Calculator?

Out the numbers 729, 892, 764, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.