GCD of 144, 824, 318, 130 Calculator

Given Input numbers are 144, 824, 318, 130

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (144, 824, 318, 130) = 2.

Given numbers are 144, 824, 318, 130

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 824 are 2 x 2 x 2 x 103

Prime factors of 318 are 2 x 3 x 53

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 144, 824, 318, 130 is 2.

Given numbers are 144, 824, 318, 130

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

Apply this formula for all numbers.

Step1:

LCM(144, 824) = 14832

GCD(144, 824) = ( 144 x 824 ) / 14832

= 144 / 824

= 144

Step2:

LCM(8, 318) = 1272

GCD(8, 318) = ( 8 x 318 ) / 1272

= 8 / 318

= 8

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 144, 824, 318, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 658, 613, 552
• GCD of 715, 168, 443, 605
• GCD of 568, 128, 376, 544
• GCD of 166, 620, 685, 137
• GCD of 211, 694, 665, 670

Given numbers are 144, 824, 318, 130
The greatest common divisor of numbers 144, 824, 318, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 824, 318, 130 is 2.

1. What is the GCD of 144, 824, 318, 130?

GCD of given numbers 144, 824, 318, 130 is 2

2. How to calculate the greatest common divisor of 144, 824, 318, 130?

We can find the highest common divisor of 144, 824, 318, 130 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, 824, 318, 130 i.e 2.

3. How can I use the GCD of 144, 824, 318, 130Calculator?

Out the numbers 144, 824, 318, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.