GCD of 304, 450, 800, 908 Calculator

Given Input numbers are 304, 450, 800, 908

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

GCD of numbers is the greatest common divisor

So, the GCD (304, 450, 800, 908) = 2.

Given numbers are 304, 450, 800, 908

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 450 are 2 x 3 x 3 x 5 x 5

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

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 304, 450, 800, 908 is 2.

Given numbers are 304, 450, 800, 908

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

Apply this formula for all numbers.

Step1:

LCM(304, 450) = 68400

GCD(304, 450) = ( 304 x 450 ) / 68400

= 304 / 450

= 304

Step2:

LCM(2, 800) = 800

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

= 2 / 800

= 2

Step3:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2

So, Greatest Common Divisor of 304, 450, 800, 908 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 494, 593, 397
• GCD of 537, 795, 786, 388
• GCD of 558, 533, 459, 526
• GCD of 911, 662, 795, 384
• GCD of 991, 907, 194, 863

Given numbers are 304, 450, 800, 908
The greatest common divisor of numbers 304, 450, 800, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 450, 800, 908 is 2.

1. What is the GCD of 304, 450, 800, 908?

GCD of given numbers 304, 450, 800, 908 is 2

2. How to calculate the greatest common divisor of 304, 450, 800, 908?

We can find the highest common divisor of 304, 450, 800, 908 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, 450, 800, 908 i.e 2.

3. How can I use the GCD of 304, 450, 800, 908Calculator?

Out the numbers 304, 450, 800, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.