GCD of 318, 285, 720, 498 Calculator

Given Input numbers are 318, 285, 720, 498

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

Divisors of 318 :

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

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

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (318, 285, 720, 498) = 3.

Given numbers are 318, 285, 720, 498

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 285 are 3 x 5 x 19

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 318, 285, 720, 498 is 3.

Given numbers are 318, 285, 720, 498

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

Apply this formula for all numbers.

Step1:

LCM(318, 285) = 30210

GCD(318, 285) = ( 318 x 285 ) / 30210

= 318 / 285

= 318

Step2:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

Step3:

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

= 3 / 498

= 3

So, Greatest Common Divisor of 318, 285, 720, 498 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 375, 277, 369
• GCD of 728, 551, 748, 177
• GCD of 431, 620, 808, 911
• GCD of 859, 485, 932, 121
• GCD of 198, 776, 274, 249

Given numbers are 318, 285, 720, 498
The greatest common divisor of numbers 318, 285, 720, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 285, 720, 498 is 3.

1. What is the GCD of 318, 285, 720, 498?

GCD of given numbers 318, 285, 720, 498 is 3

2. How to calculate the greatest common divisor of 318, 285, 720, 498?

We can find the highest common divisor of 318, 285, 720, 498 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 318, 285, 720, 498 i.e 3.

3. How can I use the GCD of 318, 285, 720, 498Calculator?

Out the numbers 318, 285, 720, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.