GCD of 304, 846, 390, 800 Calculator

Given Input numbers are 304, 846, 390, 800

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (304, 846, 390, 800) = 2.

Given numbers are 304, 846, 390, 800

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 304, 846, 390, 800 is 2.

Given numbers are 304, 846, 390, 800

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

Apply this formula for all numbers.

Step1:

LCM(304, 846) = 128592

GCD(304, 846) = ( 304 x 846 ) / 128592

= 304 / 846

= 304

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 304, 846, 390, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 785, 762, 322
• GCD of 358, 776, 542, 721
• GCD of 258, 962, 529, 635
• GCD of 852, 793, 999, 419
• GCD of 836, 759, 436, 258

Given numbers are 304, 846, 390, 800
The greatest common divisor of numbers 304, 846, 390, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 846, 390, 800 is 2.

1. What is the GCD of 304, 846, 390, 800?

GCD of given numbers 304, 846, 390, 800 is 2

2. How to calculate the greatest common divisor of 304, 846, 390, 800?

We can find the highest common divisor of 304, 846, 390, 800 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 304, 846, 390, 800 i.e 2.

3. How can I use the GCD of 304, 846, 390, 800Calculator?

Out the numbers 304, 846, 390, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.