GCD of 144, 317, 343, 944 Calculator

Given Input numbers are 144, 317, 343, 944

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 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

GCD of numbers is the greatest common divisor

So, the GCD (144, 317, 343, 944) = 1.

Given numbers are 144, 317, 343, 944

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 317 are 317

Prime factors of 343 are 7 x 7 x 7

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

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

Given numbers are 144, 317, 343, 944

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

Apply this formula for all numbers.

Step1:

LCM(144, 317) = 45648

GCD(144, 317) = ( 144 x 317 ) / 45648

= 144 / 317

= 144

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

= 1 / 944

= 1

So, Greatest Common Divisor of 144, 317, 343, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 637, 172, 415
• GCD of 218, 372, 363, 258
• GCD of 829, 214, 864, 568
• GCD of 774, 933, 266, 771
• GCD of 759, 401, 482, 872

Given numbers are 144, 317, 343, 944
The greatest common divisor of numbers 144, 317, 343, 944 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 317, 343, 944 is 1.

1. What is the GCD of 144, 317, 343, 944?

GCD of given numbers 144, 317, 343, 944 is 1

2. How to calculate the greatest common divisor of 144, 317, 343, 944?

We can find the highest common divisor of 144, 317, 343, 944 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, 317, 343, 944 i.e 1.

3. How can I use the GCD of 144, 317, 343, 944Calculator?

Out the numbers 144, 317, 343, 944 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.