GCD of 192, 723, 384, 900 Calculator

Given Input numbers are 192, 723, 384, 900

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

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

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

Divisors of 723 :

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

1, 3, 241, 723

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (192, 723, 384, 900) = 3.

Given numbers are 192, 723, 384, 900

The list of prime factors of all numbers are

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 723 are 3 x 241

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 192, 723, 384, 900 is 3.

Given numbers are 192, 723, 384, 900

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

Apply this formula for all numbers.

Step1:

LCM(192, 723) = 46272

GCD(192, 723) = ( 192 x 723 ) / 46272

= 192 / 723

= 192

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

Step3:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

So, Greatest Common Divisor of 192, 723, 384, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 692, 576, 298
• GCD of 758, 834, 689, 226
• GCD of 309, 199, 618, 861
• GCD of 287, 408, 889, 323
• GCD of 841, 435, 614, 209

Given numbers are 192, 723, 384, 900
The greatest common divisor of numbers 192, 723, 384, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 192, 723, 384, 900 is 3.

1. What is the GCD of 192, 723, 384, 900?

GCD of given numbers 192, 723, 384, 900 is 3

2. How to calculate the greatest common divisor of 192, 723, 384, 900?

We can find the highest common divisor of 192, 723, 384, 900 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 192, 723, 384, 900 i.e 3.

3. How can I use the GCD of 192, 723, 384, 900Calculator?

Out the numbers 192, 723, 384, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.