GCD of 336, 578, 338 Calculator

Given Input numbers are 336, 578, 338

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

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 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (336, 578, 338) = 2.

Given numbers are 336, 578, 338

The list of prime factors of all numbers are

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

Prime factors of 578 are 2 x 17 x 17

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 336, 578, 338 is 2.

Given numbers are 336, 578, 338

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

Apply this formula for all numbers.

Step1:

LCM(336, 578) = 97104

GCD(336, 578) = ( 336 x 578 ) / 97104

= 336 / 578

= 336

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 336, 578, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 495, 206
• GCD of 452, 235, 653
• GCD of 676, 289, 979
• GCD of 912, 912, 108
• GCD of 150, 683, 261

Given numbers are 336, 578, 338
The greatest common divisor of numbers 336, 578, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 578, 338 is 2.

1. What is the GCD of 336, 578, 338?

GCD of given numbers 336, 578, 338 is 2

2. How to calculate the greatest common divisor of 336, 578, 338?

We can find the highest common divisor of 336, 578, 338 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 336, 578, 338 i.e 2.

3. How can I use the GCD of 336, 578, 338Calculator?

Out the numbers 336, 578, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.