GCD of 144, 336, 568, 208 Calculator

Given Input numbers are 144, 336, 568, 208

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

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 (144, 336, 568, 208) = 8.

Given numbers are 144, 336, 568, 208

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 568 are 2 x 2 x 2 x 71

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

The highest common occurrence is 2³

Therefore, GCD of 144, 336, 568, 208 is 8.

Given numbers are 144, 336, 568, 208

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

Apply this formula for all numbers.

Step1:

LCM(144, 336) = 1008

GCD(144, 336) = ( 144 x 336 ) / 1008

= 144 / 336

= 144

Step2:

LCM(48, 568) = 3408

GCD(48, 568) = ( 48 x 568 ) / 3408

= 48 / 568

= 48

Step3:

LCM(8, 208) = 208

GCD(8, 208) = ( 8 x 208 ) / 208

= 8 / 208

= 8

So, Greatest Common Divisor of 144, 336, 568, 208 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 616, 225, 874
• GCD of 567, 124, 434, 508
• GCD of 883, 725, 737, 374
• GCD of 758, 333, 319, 978
• GCD of 339, 695, 130, 908

Given numbers are 144, 336, 568, 208
The greatest common divisor of numbers 144, 336, 568, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 336, 568, 208 is 8.

1. What is the GCD of 144, 336, 568, 208?

GCD of given numbers 144, 336, 568, 208 is 8

2. How to calculate the greatest common divisor of 144, 336, 568, 208?

We can find the highest common divisor of 144, 336, 568, 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 144, 336, 568, 208 i.e 8.

3. How can I use the GCD of 144, 336, 568, 208Calculator?

Out the numbers 144, 336, 568, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.