GCD of 164, 616, 198 Calculator

Given Input numbers are 164, 616, 198

In the factoring method, we have to find the divisors of all numbers

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

GCD of numbers is the greatest common divisor

So, the GCD (164, 616, 198) = 2.

Given numbers are 164, 616, 198

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 164, 616, 198 is 2.

Given numbers are 164, 616, 198

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

Apply this formula for all numbers.

Step1:

LCM(164, 616) = 25256

GCD(164, 616) = ( 164 x 616 ) / 25256

= 164 / 616

= 164

Step2:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4

So, Greatest Common Divisor of 164, 616, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 837, 544
• GCD of 377, 167, 272
• GCD of 514, 735, 763
• GCD of 337, 714, 665
• GCD of 832, 152, 533

Given numbers are 164, 616, 198
The greatest common divisor of numbers 164, 616, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 616, 198 is 2.

1. What is the GCD of 164, 616, 198?

GCD of given numbers 164, 616, 198 is 2

2. How to calculate the greatest common divisor of 164, 616, 198?

We can find the highest common divisor of 164, 616, 198 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 164, 616, 198 i.e 2.

3. How can I use the GCD of 164, 616, 198Calculator?

Out the numbers 164, 616, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.