GCD of 300, 902, 384, 994 Calculator

Given Input numbers are 300, 902, 384, 994

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 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

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 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (300, 902, 384, 994) = 2.

Given numbers are 300, 902, 384, 994

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 902 are 2 x 11 x 41

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

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 300, 902, 384, 994 is 2.

Given numbers are 300, 902, 384, 994

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

Apply this formula for all numbers.

Step1:

LCM(300, 902) = 135300

GCD(300, 902) = ( 300 x 902 ) / 135300

= 300 / 902

= 300

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

So, Greatest Common Divisor of 300, 902, 384, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 907, 581, 620
• GCD of 560, 377, 367, 132
• GCD of 757, 428, 765, 382
• GCD of 569, 709, 950, 117
• GCD of 335, 982, 544, 888

Given numbers are 300, 902, 384, 994
The greatest common divisor of numbers 300, 902, 384, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 902, 384, 994 is 2.

1. What is the GCD of 300, 902, 384, 994?

GCD of given numbers 300, 902, 384, 994 is 2

2. How to calculate the greatest common divisor of 300, 902, 384, 994?

We can find the highest common divisor of 300, 902, 384, 994 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, 902, 384, 994 i.e 2.

3. How can I use the GCD of 300, 902, 384, 994Calculator?

Out the numbers 300, 902, 384, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.