GCD of 144, 576, 832, 398 Calculator

Given Input numbers are 144, 576, 832, 398

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (144, 576, 832, 398) = 2.

Given numbers are 144, 576, 832, 398

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 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 144, 576, 832, 398 is 2.

Given numbers are 144, 576, 832, 398

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

Apply this formula for all numbers.

Step1:

LCM(144, 576) = 576

GCD(144, 576) = ( 144 x 576 ) / 576

= 144 / 576

= 144

Step2:

LCM(144, 832) = 7488

GCD(144, 832) = ( 144 x 832 ) / 7488

= 144 / 832

= 144

Step3:

LCM(16, 398) = 3184

GCD(16, 398) = ( 16 x 398 ) / 3184

= 16 / 398

= 16

So, Greatest Common Divisor of 144, 576, 832, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 894, 202, 581
• GCD of 895, 919, 721, 922
• GCD of 241, 949, 612, 373
• GCD of 853, 645, 199, 132
• GCD of 632, 556, 898, 694

Given numbers are 144, 576, 832, 398
The greatest common divisor of numbers 144, 576, 832, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 576, 832, 398 is 2.

1. What is the GCD of 144, 576, 832, 398?

GCD of given numbers 144, 576, 832, 398 is 2

2. How to calculate the greatest common divisor of 144, 576, 832, 398?

We can find the highest common divisor of 144, 576, 832, 398 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, 576, 832, 398 i.e 2.

3. How can I use the GCD of 144, 576, 832, 398Calculator?

Out the numbers 144, 576, 832, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.