GCD of 546, 168, 621, 198 Calculator

Given Input numbers are 546, 168, 621, 198

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

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

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 (546, 168, 621, 198) = 3.

Given numbers are 546, 168, 621, 198

The list of prime factors of all numbers are

Prime factors of 546 are 2 x 3 x 7 x 13

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

Prime factors of 621 are 3 x 3 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 546, 168, 621, 198 is 3.

Given numbers are 546, 168, 621, 198

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

Apply this formula for all numbers.

Step1:

LCM(546, 168) = 2184

GCD(546, 168) = ( 546 x 168 ) / 2184

= 546 / 168

= 546

Step2:

LCM(42, 621) = 8694

GCD(42, 621) = ( 42 x 621 ) / 8694

= 42 / 621

= 42

Step3:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

So, Greatest Common Divisor of 546, 168, 621, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 806, 894, 791
• GCD of 565, 542, 233, 434
• GCD of 352, 389, 933, 167
• GCD of 755, 193, 305, 704
• GCD of 822, 315, 788, 384

Given numbers are 546, 168, 621, 198
The greatest common divisor of numbers 546, 168, 621, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 168, 621, 198 is 3.

1. What is the GCD of 546, 168, 621, 198?

GCD of given numbers 546, 168, 621, 198 is 3

2. How to calculate the greatest common divisor of 546, 168, 621, 198?

We can find the highest common divisor of 546, 168, 621, 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 546, 168, 621, 198 i.e 3.

3. How can I use the GCD of 546, 168, 621, 198Calculator?

Out the numbers 546, 168, 621, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.