GCD of 238, 336, 600, 808 Calculator

Given Input numbers are 238, 336, 600, 808

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 (238, 336, 600, 808) = 2.

Given numbers are 238, 336, 600, 808

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 600 are 2 x 2 x 2 x 3 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 238, 336, 600, 808 is 2.

Given numbers are 238, 336, 600, 808

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

Apply this formula for all numbers.

Step1:

LCM(238, 336) = 5712

GCD(238, 336) = ( 238 x 336 ) / 5712

= 238 / 336

= 238

Step2:

LCM(14, 600) = 4200

GCD(14, 600) = ( 14 x 600 ) / 4200

= 14 / 600

= 14

Step3:

LCM(2, 808) = 808

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

= 2 / 808

= 2

So, Greatest Common Divisor of 238, 336, 600, 808 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 884, 665, 507
• GCD of 346, 783, 875, 446
• GCD of 352, 390, 989, 851
• GCD of 102, 390, 135, 349
• GCD of 859, 260, 228, 174

Given numbers are 238, 336, 600, 808
The greatest common divisor of numbers 238, 336, 600, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 336, 600, 808 is 2.

1. What is the GCD of 238, 336, 600, 808?

GCD of given numbers 238, 336, 600, 808 is 2

2. How to calculate the greatest common divisor of 238, 336, 600, 808?

We can find the highest common divisor of 238, 336, 600, 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 238, 336, 600, 808 i.e 2.

3. How can I use the GCD of 238, 336, 600, 808Calculator?

Out the numbers 238, 336, 600, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.