GCD of 198, 288, 586, 126 Calculator

Given Input numbers are 198, 288, 586, 126

In the factoring method, we have to find the divisors of all numbers

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (198, 288, 586, 126) = 2.

Given numbers are 198, 288, 586, 126

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 586 are 2 x 293

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 198, 288, 586, 126 is 2.

Given numbers are 198, 288, 586, 126

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

Apply this formula for all numbers.

Step1:

LCM(198, 288) = 3168

GCD(198, 288) = ( 198 x 288 ) / 3168

= 198 / 288

= 198

Step2:

LCM(18, 586) = 5274

GCD(18, 586) = ( 18 x 586 ) / 5274

= 18 / 586

= 18

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 198, 288, 586, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 225, 348, 140
• GCD of 847, 983, 956, 133
• GCD of 998, 556, 757, 405
• GCD of 708, 327, 522, 414
• GCD of 128, 730, 764, 723

Given numbers are 198, 288, 586, 126
The greatest common divisor of numbers 198, 288, 586, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 288, 586, 126 is 2.

1. What is the GCD of 198, 288, 586, 126?

GCD of given numbers 198, 288, 586, 126 is 2

2. How to calculate the greatest common divisor of 198, 288, 586, 126?

We can find the highest common divisor of 198, 288, 586, 126 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 198, 288, 586, 126 i.e 2.

3. How can I use the GCD of 198, 288, 586, 126Calculator?

Out the numbers 198, 288, 586, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.