GCD of 344, 462, 200, 808 Calculator

Given Input numbers are 344, 462, 200, 808

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

GCD of numbers is the greatest common divisor

So, the GCD (344, 462, 200, 808) = 2.

Given numbers are 344, 462, 200, 808

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 808 are 2 x 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 344, 462, 200, 808 is 2.

Given numbers are 344, 462, 200, 808

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

Apply this formula for all numbers.

Step1:

LCM(344, 462) = 79464

GCD(344, 462) = ( 344 x 462 ) / 79464

= 344 / 462

= 344

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

= 2 / 808

= 2

So, Greatest Common Divisor of 344, 462, 200, 808 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 128, 657, 222
• GCD of 550, 189, 873, 852
• GCD of 499, 484, 344, 703
• GCD of 776, 464, 524, 941
• GCD of 492, 878, 840, 375

Given numbers are 344, 462, 200, 808
The greatest common divisor of numbers 344, 462, 200, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 462, 200, 808 is 2.

1. What is the GCD of 344, 462, 200, 808?

GCD of given numbers 344, 462, 200, 808 is 2

2. How to calculate the greatest common divisor of 344, 462, 200, 808?

We can find the highest common divisor of 344, 462, 200, 808 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 344, 462, 200, 808 i.e 2.

3. How can I use the GCD of 344, 462, 200, 808Calculator?

Out the numbers 344, 462, 200, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.