GCD of 300, 225, 192, 471 Calculator

Given Input numbers are 300, 225, 192, 471

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (300, 225, 192, 471) = 3.

Given numbers are 300, 225, 192, 471

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

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

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 300, 225, 192, 471 is 3.

Given numbers are 300, 225, 192, 471

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

Apply this formula for all numbers.

Step1:

LCM(300, 225) = 900

GCD(300, 225) = ( 300 x 225 ) / 900

= 300 / 225

= 300

Step2:

LCM(75, 192) = 4800

GCD(75, 192) = ( 75 x 192 ) / 4800

= 75 / 192

= 75

Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

So, Greatest Common Divisor of 300, 225, 192, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 475, 309, 623
• GCD of 465, 952, 819, 936
• GCD of 344, 629, 490, 595
• GCD of 458, 599, 745, 995
• GCD of 849, 751, 381, 558

Given numbers are 300, 225, 192, 471
The greatest common divisor of numbers 300, 225, 192, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 225, 192, 471 is 3.

1. What is the GCD of 300, 225, 192, 471?

GCD of given numbers 300, 225, 192, 471 is 3

2. How to calculate the greatest common divisor of 300, 225, 192, 471?

We can find the highest common divisor of 300, 225, 192, 471 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 300, 225, 192, 471 i.e 3.

3. How can I use the GCD of 300, 225, 192, 471Calculator?

Out the numbers 300, 225, 192, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.