GCD of 438, 768, 208 Calculator

Given Input numbers are 438, 768, 208

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 208 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (438, 768, 208) = 2.

Given numbers are 438, 768, 208

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 438, 768, 208 is 2.

Given numbers are 438, 768, 208

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

Apply this formula for all numbers.

Step1:

LCM(438, 768) = 56064

GCD(438, 768) = ( 438 x 768 ) / 56064

= 438 / 768

= 438

Step2:

LCM(6, 208) = 624

GCD(6, 208) = ( 6 x 208 ) / 624

= 6 / 208

= 6

So, Greatest Common Divisor of 438, 768, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 279, 399
• GCD of 555, 296, 896
• GCD of 429, 264, 997
• GCD of 726, 769, 662
• GCD of 362, 231, 366

Given numbers are 438, 768, 208
The greatest common divisor of numbers 438, 768, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 768, 208 is 2.

1. What is the GCD of 438, 768, 208?

GCD of given numbers 438, 768, 208 is 2

2. How to calculate the greatest common divisor of 438, 768, 208?

We can find the highest common divisor of 438, 768, 208 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 438, 768, 208 i.e 2.

3. How can I use the GCD of 438, 768, 208Calculator?

Out the numbers 438, 768, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.