GCD of 198, 292, 168, 814 Calculator

Given Input numbers are 198, 292, 168, 814

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 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (198, 292, 168, 814) = 2.

Given numbers are 198, 292, 168, 814

The list of prime factors of all numbers are

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

Prime factors of 292 are 2 x 2 x 73

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 198, 292, 168, 814 is 2.

Given numbers are 198, 292, 168, 814

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

Apply this formula for all numbers.

Step1:

LCM(198, 292) = 28908

GCD(198, 292) = ( 198 x 292 ) / 28908

= 198 / 292

= 198

Step2:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 198, 292, 168, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 245, 850, 637
• GCD of 612, 967, 533, 874
• GCD of 609, 254, 619, 216
• GCD of 907, 485, 527, 739
• GCD of 665, 407, 395, 486

Given numbers are 198, 292, 168, 814
The greatest common divisor of numbers 198, 292, 168, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 292, 168, 814 is 2.

1. What is the GCD of 198, 292, 168, 814?

GCD of given numbers 198, 292, 168, 814 is 2

2. How to calculate the greatest common divisor of 198, 292, 168, 814?

We can find the highest common divisor of 198, 292, 168, 814 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, 292, 168, 814 i.e 2.

3. How can I use the GCD of 198, 292, 168, 814Calculator?

Out the numbers 198, 292, 168, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.