GCD of 144, 198, 463, 959 Calculator

Given Input numbers are 144, 198, 463, 959

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

GCD of numbers is the greatest common divisor

So, the GCD (144, 198, 463, 959) = 1.

Given numbers are 144, 198, 463, 959

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 198 are 2 x 3 x 3 x 11

Prime factors of 463 are 463

Prime factors of 959 are 7 x 137

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

Given numbers are 144, 198, 463, 959

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

Apply this formula for all numbers.

Step1:

LCM(144, 198) = 1584

GCD(144, 198) = ( 144 x 198 ) / 1584

= 144 / 198

= 144

Step2:

LCM(18, 463) = 8334

GCD(18, 463) = ( 18 x 463 ) / 8334

= 18 / 463

= 18

Step3:

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

= 1 / 959

= 1

So, Greatest Common Divisor of 144, 198, 463, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 297, 407, 999
• GCD of 266, 753, 692, 364
• GCD of 580, 100, 459, 766
• GCD of 295, 576, 492, 240
• GCD of 537, 453, 961, 991

Given numbers are 144, 198, 463, 959
The greatest common divisor of numbers 144, 198, 463, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 198, 463, 959 is 1.

1. What is the GCD of 144, 198, 463, 959?

GCD of given numbers 144, 198, 463, 959 is 1

2. How to calculate the greatest common divisor of 144, 198, 463, 959?

We can find the highest common divisor of 144, 198, 463, 959 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, 198, 463, 959 i.e 1.

3. How can I use the GCD of 144, 198, 463, 959Calculator?

Out the numbers 144, 198, 463, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.