GCD of 144, 396, 958, 359 Calculator

Given Input numbers are 144, 396, 958, 359

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (144, 396, 958, 359) = 1.

Given numbers are 144, 396, 958, 359

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 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 958 are 2 x 479

Prime factors of 359 are 359

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

Given numbers are 144, 396, 958, 359

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

Apply this formula for all numbers.

Step1:

LCM(144, 396) = 1584

GCD(144, 396) = ( 144 x 396 ) / 1584

= 144 / 396

= 144

Step2:

LCM(36, 958) = 17244

GCD(36, 958) = ( 36 x 958 ) / 17244

= 36 / 958

= 36

Step3:

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

= 2 / 359

= 2

So, Greatest Common Divisor of 144, 396, 958, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 508, 296, 425
• GCD of 387, 446, 685, 571
• GCD of 175, 449, 143, 919
• GCD of 216, 258, 783, 364
• GCD of 962, 728, 992, 517

Given numbers are 144, 396, 958, 359
The greatest common divisor of numbers 144, 396, 958, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 396, 958, 359 is 1.

1. What is the GCD of 144, 396, 958, 359?

GCD of given numbers 144, 396, 958, 359 is 1

2. How to calculate the greatest common divisor of 144, 396, 958, 359?

We can find the highest common divisor of 144, 396, 958, 359 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, 396, 958, 359 i.e 1.

3. How can I use the GCD of 144, 396, 958, 359Calculator?

Out the numbers 144, 396, 958, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.