GCD of 447, 387, 171, 198 Calculator

Given Input numbers are 447, 387, 171, 198

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

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

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 (447, 387, 171, 198) = 3.

Given numbers are 447, 387, 171, 198

The list of prime factors of all numbers are

Prime factors of 447 are 3 x 149

Prime factors of 387 are 3 x 3 x 43

Prime factors of 171 are 3 x 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 447, 387, 171, 198 is 3.

Given numbers are 447, 387, 171, 198

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

Apply this formula for all numbers.

Step1:

LCM(447, 387) = 57663

GCD(447, 387) = ( 447 x 387 ) / 57663

= 447 / 387

= 447

Step2:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

Step3:

LCM(3, 198) = 198

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

= 3 / 198

= 3

So, Greatest Common Divisor of 447, 387, 171, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 451, 113, 125
• GCD of 750, 911, 780, 552
• GCD of 153, 701, 600, 178
• GCD of 338, 864, 167, 437
• GCD of 660, 774, 380, 539

Given numbers are 447, 387, 171, 198
The greatest common divisor of numbers 447, 387, 171, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 387, 171, 198 is 3.

1. What is the GCD of 447, 387, 171, 198?

GCD of given numbers 447, 387, 171, 198 is 3

2. How to calculate the greatest common divisor of 447, 387, 171, 198?

We can find the highest common divisor of 447, 387, 171, 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 447, 387, 171, 198 i.e 3.

3. How can I use the GCD of 447, 387, 171, 198Calculator?

Out the numbers 447, 387, 171, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.