GCD of 500, 574, 208, 394 Calculator

Given Input numbers are 500, 574, 208, 394

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (500, 574, 208, 394) = 2.

Given numbers are 500, 574, 208, 394

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 574 are 2 x 7 x 41

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 394 are 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 500, 574, 208, 394 is 2.

Given numbers are 500, 574, 208, 394

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

Apply this formula for all numbers.

Step1:

LCM(500, 574) = 143500

GCD(500, 574) = ( 500 x 574 ) / 143500

= 500 / 574

= 500

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

So, Greatest Common Divisor of 500, 574, 208, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 825, 795, 195
• GCD of 939, 538, 273, 916
• GCD of 559, 369, 934, 350
• GCD of 477, 288, 831, 712
• GCD of 718, 653, 509, 506

Given numbers are 500, 574, 208, 394
The greatest common divisor of numbers 500, 574, 208, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 574, 208, 394 is 2.

1. What is the GCD of 500, 574, 208, 394?

GCD of given numbers 500, 574, 208, 394 is 2

2. How to calculate the greatest common divisor of 500, 574, 208, 394?

We can find the highest common divisor of 500, 574, 208, 394 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, 574, 208, 394 i.e 2.

3. How can I use the GCD of 500, 574, 208, 394Calculator?

Out the numbers 500, 574, 208, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.