GCD of 198, 550, 330, 826 Calculator

Given Input numbers are 198, 550, 330, 826

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (198, 550, 330, 826) = 2.

Given numbers are 198, 550, 330, 826

The list of prime factors of all numbers are

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

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 198, 550, 330, 826 is 2.

Given numbers are 198, 550, 330, 826

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

Apply this formula for all numbers.

Step1:

LCM(198, 550) = 4950

GCD(198, 550) = ( 198 x 550 ) / 4950

= 198 / 550

= 198

Step2:

LCM(22, 330) = 330

GCD(22, 330) = ( 22 x 330 ) / 330

= 22 / 330

= 22

Step3:

LCM(22, 826) = 9086

GCD(22, 826) = ( 22 x 826 ) / 9086

= 22 / 826

= 22

So, Greatest Common Divisor of 198, 550, 330, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 344, 225, 339
• GCD of 586, 866, 621, 231
• GCD of 895, 447, 252, 412
• GCD of 342, 126, 381, 836
• GCD of 882, 153, 172, 624

Given numbers are 198, 550, 330, 826
The greatest common divisor of numbers 198, 550, 330, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 550, 330, 826 is 2.

1. What is the GCD of 198, 550, 330, 826?

GCD of given numbers 198, 550, 330, 826 is 2

2. How to calculate the greatest common divisor of 198, 550, 330, 826?

We can find the highest common divisor of 198, 550, 330, 826 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, 550, 330, 826 i.e 2.

3. How can I use the GCD of 198, 550, 330, 826Calculator?

Out the numbers 198, 550, 330, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.