GCD of 729, 177, 303, 381 Calculator

Given Input numbers are 729, 177, 303, 381

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 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (729, 177, 303, 381) = 3.

Given numbers are 729, 177, 303, 381

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 177 are 3 x 59

Prime factors of 303 are 3 x 101

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 729, 177, 303, 381 is 3.

Given numbers are 729, 177, 303, 381

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

Apply this formula for all numbers.

Step1:

LCM(729, 177) = 43011

GCD(729, 177) = ( 729 x 177 ) / 43011

= 729 / 177

= 729

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 729, 177, 303, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 880, 261, 315
• GCD of 517, 697, 556, 966
• GCD of 266, 494, 309, 131
• GCD of 576, 888, 629, 633
• GCD of 121, 157, 311, 122

Given numbers are 729, 177, 303, 381
The greatest common divisor of numbers 729, 177, 303, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 177, 303, 381 is 3.

1. What is the GCD of 729, 177, 303, 381?

GCD of given numbers 729, 177, 303, 381 is 3

2. How to calculate the greatest common divisor of 729, 177, 303, 381?

We can find the highest common divisor of 729, 177, 303, 381 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, 177, 303, 381 i.e 3.

3. How can I use the GCD of 729, 177, 303, 381Calculator?

Out the numbers 729, 177, 303, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.