GCD of 576, 398, 300, 730 Calculator

Given Input numbers are 576, 398, 300, 730

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (576, 398, 300, 730) = 2.

Given numbers are 576, 398, 300, 730

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 398 are 2 x 199

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

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 576, 398, 300, 730 is 2.

Given numbers are 576, 398, 300, 730

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

Apply this formula for all numbers.

Step1:

LCM(576, 398) = 114624

GCD(576, 398) = ( 576 x 398 ) / 114624

= 576 / 398

= 576

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 576, 398, 300, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 515, 261, 429
• GCD of 576, 744, 973, 439
• GCD of 509, 388, 480, 309
• GCD of 158, 221, 298, 870
• GCD of 562, 406, 806, 468

Given numbers are 576, 398, 300, 730
The greatest common divisor of numbers 576, 398, 300, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 398, 300, 730 is 2.

1. What is the GCD of 576, 398, 300, 730?

GCD of given numbers 576, 398, 300, 730 is 2

2. How to calculate the greatest common divisor of 576, 398, 300, 730?

We can find the highest common divisor of 576, 398, 300, 730 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 576, 398, 300, 730 i.e 2.

3. How can I use the GCD of 576, 398, 300, 730Calculator?

Out the numbers 576, 398, 300, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.