GCD of 198, 608, 510, 422 Calculator

Given Input numbers are 198, 608, 510, 422

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 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (198, 608, 510, 422) = 2.

Given numbers are 198, 608, 510, 422

The list of prime factors of all numbers are

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

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 198, 608, 510, 422 is 2.

Given numbers are 198, 608, 510, 422

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

Apply this formula for all numbers.

Step1:

LCM(198, 608) = 60192

GCD(198, 608) = ( 198 x 608 ) / 60192

= 198 / 608

= 198

Step2:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 198, 608, 510, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 395, 244, 602
• GCD of 248, 751, 864, 289
• GCD of 203, 942, 336, 284
• GCD of 333, 469, 847, 772
• GCD of 255, 462, 602, 608

Given numbers are 198, 608, 510, 422
The greatest common divisor of numbers 198, 608, 510, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 608, 510, 422 is 2.

1. What is the GCD of 198, 608, 510, 422?

GCD of given numbers 198, 608, 510, 422 is 2

2. How to calculate the greatest common divisor of 198, 608, 510, 422?

We can find the highest common divisor of 198, 608, 510, 422 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, 608, 510, 422 i.e 2.

3. How can I use the GCD of 198, 608, 510, 422Calculator?

Out the numbers 198, 608, 510, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.