GCD of 384, 723, 24, 273 Calculator

Given Input numbers are 384, 723, 24, 273

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

GCD of numbers is the greatest common divisor

So, the GCD (384, 723, 24, 273) = 3.

Given numbers are 384, 723, 24, 273

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 723 are 3 x 241

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 273 are 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 384, 723, 24, 273 is 3.

Given numbers are 384, 723, 24, 273

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

Apply this formula for all numbers.

Step1:

LCM(384, 723) = 92544

GCD(384, 723) = ( 384 x 723 ) / 92544

= 384 / 723

= 384

Step2:

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

= 3 / 24

= 3

Step3:

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

= 3 / 273

= 3

So, Greatest Common Divisor of 384, 723, 24, 273 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 928, 28, 183
• GCD of 254, 906, 76, 638
• GCD of 753, 685, 31, 700
• GCD of 394, 463, 72, 161
• GCD of 267, 481, 19, 807

Given numbers are 384, 723, 24, 273
The greatest common divisor of numbers 384, 723, 24, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 723, 24, 273 is 3.

1. What is the GCD of 384, 723, 24, 273?

GCD of given numbers 384, 723, 24, 273 is 3

2. How to calculate the greatest common divisor of 384, 723, 24, 273?

We can find the highest common divisor of 384, 723, 24, 273 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 384, 723, 24, 273 i.e 3.

3. How can I use the GCD of 384, 723, 24, 273Calculator?

Out the numbers 384, 723, 24, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.