GCD of 498, 189, 318 Calculator

Given Input numbers are 498, 189, 318

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (498, 189, 318) = 3.

Given numbers are 498, 189, 318

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 498, 189, 318 is 3.

Given numbers are 498, 189, 318

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

Apply this formula for all numbers.

Step1:

LCM(498, 189) = 31374

GCD(498, 189) = ( 498 x 189 ) / 31374

= 498 / 189

= 498

Step2:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

So, Greatest Common Divisor of 498, 189, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 386, 227
• GCD of 828, 910, 510
• GCD of 564, 572, 696
• GCD of 311, 810, 815
• GCD of 860, 770, 653

Given numbers are 498, 189, 318
The greatest common divisor of numbers 498, 189, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 189, 318 is 3.

1. What is the GCD of 498, 189, 318?

GCD of given numbers 498, 189, 318 is 3

2. How to calculate the greatest common divisor of 498, 189, 318?

We can find the highest common divisor of 498, 189, 318 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 498, 189, 318 i.e 3.

3. How can I use the GCD of 498, 189, 318Calculator?

Out the numbers 498, 189, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.