GCD of 800, 304, 506, 476 Calculator

Given Input numbers are 800, 304, 506, 476

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

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 304 :

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

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (800, 304, 506, 476) = 2.

Given numbers are 800, 304, 506, 476

The list of prime factors of all numbers are

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

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

Prime factors of 506 are 2 x 11 x 23

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 800, 304, 506, 476 is 2.

Given numbers are 800, 304, 506, 476

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

Apply this formula for all numbers.

Step1:

LCM(800, 304) = 15200

GCD(800, 304) = ( 800 x 304 ) / 15200

= 800 / 304

= 800

Step2:

LCM(16, 506) = 4048

GCD(16, 506) = ( 16 x 506 ) / 4048

= 16 / 506

= 16

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 800, 304, 506, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 144, 646, 987
• GCD of 169, 863, 483, 166
• GCD of 803, 502, 141, 453
• GCD of 186, 219, 814, 495
• GCD of 924, 293, 297, 105

Given numbers are 800, 304, 506, 476
The greatest common divisor of numbers 800, 304, 506, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 304, 506, 476 is 2.

1. What is the GCD of 800, 304, 506, 476?

GCD of given numbers 800, 304, 506, 476 is 2

2. How to calculate the greatest common divisor of 800, 304, 506, 476?

We can find the highest common divisor of 800, 304, 506, 476 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 800, 304, 506, 476 i.e 2.

3. How can I use the GCD of 800, 304, 506, 476Calculator?

Out the numbers 800, 304, 506, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.