GCD of 198, 812, 210, 242 Calculator

Given Input numbers are 198, 812, 210, 242

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 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (198, 812, 210, 242) = 2.

Given numbers are 198, 812, 210, 242

The list of prime factors of all numbers are

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

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 198, 812, 210, 242 is 2.

Given numbers are 198, 812, 210, 242

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

Apply this formula for all numbers.

Step1:

LCM(198, 812) = 80388

GCD(198, 812) = ( 198 x 812 ) / 80388

= 198 / 812

= 198

Step2:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 198, 812, 210, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 146, 976, 926
• GCD of 163, 761, 540, 841
• GCD of 888, 851, 845, 531
• GCD of 638, 914, 167, 630
• GCD of 296, 394, 909, 325

Given numbers are 198, 812, 210, 242
The greatest common divisor of numbers 198, 812, 210, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 812, 210, 242 is 2.

1. What is the GCD of 198, 812, 210, 242?

GCD of given numbers 198, 812, 210, 242 is 2

2. How to calculate the greatest common divisor of 198, 812, 210, 242?

We can find the highest common divisor of 198, 812, 210, 242 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, 812, 210, 242 i.e 2.

3. How can I use the GCD of 198, 812, 210, 242Calculator?

Out the numbers 198, 812, 210, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.