GCD of 336, 456, 45, 729 Calculator

Given Input numbers are 336, 456, 45, 729

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

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 (336, 456, 45, 729) = 3.

Given numbers are 336, 456, 45, 729

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 45 are 3 x 3 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 336, 456, 45, 729 is 3.

Given numbers are 336, 456, 45, 729

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

Apply this formula for all numbers.

Step1:

LCM(336, 456) = 6384

GCD(336, 456) = ( 336 x 456 ) / 6384

= 336 / 456

= 336

Step2:

LCM(24, 45) = 360

GCD(24, 45) = ( 24 x 45 ) / 360

= 24 / 45

= 24

Step3:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

So, Greatest Common Divisor of 336, 456, 45, 729 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 420, 63, 648
• GCD of 912, 423, 28, 631
• GCD of 668, 667, 86, 748
• GCD of 764, 594, 38, 997
• GCD of 308, 804, 72, 738

Given numbers are 336, 456, 45, 729
The greatest common divisor of numbers 336, 456, 45, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 456, 45, 729 is 3.

1. What is the GCD of 336, 456, 45, 729?

GCD of given numbers 336, 456, 45, 729 is 3

2. How to calculate the greatest common divisor of 336, 456, 45, 729?

We can find the highest common divisor of 336, 456, 45, 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 336, 456, 45, 729 i.e 3.

3. How can I use the GCD of 336, 456, 45, 729Calculator?

Out the numbers 336, 456, 45, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.