GCD of 500, 304, 342, 408 Calculator

Given Input numbers are 500, 304, 342, 408

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (500, 304, 342, 408) = 2.

Given numbers are 500, 304, 342, 408

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 500, 304, 342, 408 is 2.

Given numbers are 500, 304, 342, 408

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

Apply this formula for all numbers.

Step1:

LCM(500, 304) = 38000

GCD(500, 304) = ( 500 x 304 ) / 38000

= 500 / 304

= 500

Step2:

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

= 4 / 342

= 4

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 500, 304, 342, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 730, 297, 858
• GCD of 975, 237, 548, 965
• GCD of 491, 903, 870, 165
• GCD of 203, 221, 429, 509
• GCD of 935, 219, 215, 142

Given numbers are 500, 304, 342, 408
The greatest common divisor of numbers 500, 304, 342, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 304, 342, 408 is 2.

1. What is the GCD of 500, 304, 342, 408?

GCD of given numbers 500, 304, 342, 408 is 2

2. How to calculate the greatest common divisor of 500, 304, 342, 408?

We can find the highest common divisor of 500, 304, 342, 408 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 500, 304, 342, 408 i.e 2.

3. How can I use the GCD of 500, 304, 342, 408Calculator?

Out the numbers 500, 304, 342, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.