GCD of 304, 132, 410, 729 Calculator

Given Input numbers are 304, 132, 410, 729

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 729 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (304, 132, 410, 729) = 1.

Given numbers are 304, 132, 410, 729

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 410 are 2 x 5 x 41

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

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

Given numbers are 304, 132, 410, 729

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

Apply this formula for all numbers.

Step1:

LCM(304, 132) = 10032

GCD(304, 132) = ( 304 x 132 ) / 10032

= 304 / 132

= 304

Step2:

LCM(4, 410) = 820

GCD(4, 410) = ( 4 x 410 ) / 820

= 4 / 410

= 4

Step3:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2

So, Greatest Common Divisor of 304, 132, 410, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 799, 619, 713
• GCD of 763, 726, 627, 248
• GCD of 615, 208, 626, 844
• GCD of 700, 798, 822, 764
• GCD of 989, 122, 967, 129

Given numbers are 304, 132, 410, 729
The greatest common divisor of numbers 304, 132, 410, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 132, 410, 729 is 1.

1. What is the GCD of 304, 132, 410, 729?

GCD of given numbers 304, 132, 410, 729 is 1

2. How to calculate the greatest common divisor of 304, 132, 410, 729?

We can find the highest common divisor of 304, 132, 410, 729 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 304, 132, 410, 729 i.e 1.

3. How can I use the GCD of 304, 132, 410, 729Calculator?

Out the numbers 304, 132, 410, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.