GCD of 198, 508, 488, 706 Calculator

Given Input numbers are 198, 508, 488, 706

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (198, 508, 488, 706) = 2.

Given numbers are 198, 508, 488, 706

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 198, 508, 488, 706 is 2.

Given numbers are 198, 508, 488, 706

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

Apply this formula for all numbers.

Step1:

LCM(198, 508) = 50292

GCD(198, 508) = ( 198 x 508 ) / 50292

= 198 / 508

= 198

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2

So, Greatest Common Divisor of 198, 508, 488, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 418, 206, 438
• GCD of 789, 170, 306, 319
• GCD of 181, 321, 558, 564
• GCD of 722, 317, 946, 236
• GCD of 537, 578, 411, 589

Given numbers are 198, 508, 488, 706
The greatest common divisor of numbers 198, 508, 488, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 508, 488, 706 is 2.

1. What is the GCD of 198, 508, 488, 706?

GCD of given numbers 198, 508, 488, 706 is 2

2. How to calculate the greatest common divisor of 198, 508, 488, 706?

We can find the highest common divisor of 198, 508, 488, 706 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, 508, 488, 706 i.e 2.

3. How can I use the GCD of 198, 508, 488, 706Calculator?

Out the numbers 198, 508, 488, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.