GCD of 198, 543, 123, 489 Calculator

Given Input numbers are 198, 543, 123, 489

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 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (198, 543, 123, 489) = 3.

Given numbers are 198, 543, 123, 489

The list of prime factors of all numbers are

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

Prime factors of 543 are 3 x 181

Prime factors of 123 are 3 x 41

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 198, 543, 123, 489 is 3.

Given numbers are 198, 543, 123, 489

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

Apply this formula for all numbers.

Step1:

LCM(198, 543) = 35838

GCD(198, 543) = ( 198 x 543 ) / 35838

= 198 / 543

= 198

Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

Step3:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

So, Greatest Common Divisor of 198, 543, 123, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 711, 815, 359
• GCD of 470, 206, 921, 454
• GCD of 384, 853, 308, 716
• GCD of 112, 418, 164, 100
• GCD of 752, 194, 972, 553

Given numbers are 198, 543, 123, 489
The greatest common divisor of numbers 198, 543, 123, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 543, 123, 489 is 3.

1. What is the GCD of 198, 543, 123, 489?

GCD of given numbers 198, 543, 123, 489 is 3

2. How to calculate the greatest common divisor of 198, 543, 123, 489?

We can find the highest common divisor of 198, 543, 123, 489 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, 543, 123, 489 i.e 3.

3. How can I use the GCD of 198, 543, 123, 489Calculator?

Out the numbers 198, 543, 123, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.