GCD of 144, 318, 190, 315 Calculator

Given Input numbers are 144, 318, 190, 315

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 318 :

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

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

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (144, 318, 190, 315) = 1.

Given numbers are 144, 318, 190, 315

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 318 are 2 x 3 x 53

Prime factors of 190 are 2 x 5 x 19

Prime factors of 315 are 3 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 318, 190, 315

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

Apply this formula for all numbers.

Step1:

LCM(144, 318) = 7632

GCD(144, 318) = ( 144 x 318 ) / 7632

= 144 / 318

= 144

Step2:

LCM(6, 190) = 570

GCD(6, 190) = ( 6 x 190 ) / 570

= 6 / 190

= 6

Step3:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

So, Greatest Common Divisor of 144, 318, 190, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 372, 125, 259
• GCD of 573, 905, 251, 832
• GCD of 516, 697, 365, 111
• GCD of 550, 226, 994, 763
• GCD of 736, 653, 505, 195

Given numbers are 144, 318, 190, 315
The greatest common divisor of numbers 144, 318, 190, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 318, 190, 315 is 1.

1. What is the GCD of 144, 318, 190, 315?

GCD of given numbers 144, 318, 190, 315 is 1

2. How to calculate the greatest common divisor of 144, 318, 190, 315?

We can find the highest common divisor of 144, 318, 190, 315 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, 318, 190, 315 i.e 1.

3. How can I use the GCD of 144, 318, 190, 315Calculator?

Out the numbers 144, 318, 190, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.