GCD of 300, 518, 380, 896 Calculator

Given Input numbers are 300, 518, 380, 896

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 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (300, 518, 380, 896) = 2.

Given numbers are 300, 518, 380, 896

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 518 are 2 x 7 x 37

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 300, 518, 380, 896 is 2.

Given numbers are 300, 518, 380, 896

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

Apply this formula for all numbers.

Step1:

LCM(300, 518) = 77700

GCD(300, 518) = ( 300 x 518 ) / 77700

= 300 / 518

= 300

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

Step3:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

So, Greatest Common Divisor of 300, 518, 380, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 607, 470, 874
• GCD of 611, 641, 207, 890
• GCD of 235, 315, 365, 968
• GCD of 812, 551, 159, 516
• GCD of 820, 406, 452, 897

Given numbers are 300, 518, 380, 896
The greatest common divisor of numbers 300, 518, 380, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 518, 380, 896 is 2.

1. What is the GCD of 300, 518, 380, 896?

GCD of given numbers 300, 518, 380, 896 is 2

2. How to calculate the greatest common divisor of 300, 518, 380, 896?

We can find the highest common divisor of 300, 518, 380, 896 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, 518, 380, 896 i.e 2.

3. How can I use the GCD of 300, 518, 380, 896Calculator?

Out the numbers 300, 518, 380, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.