GCD of 318, 498, 159, 462 Calculator

Given Input numbers are 318, 498, 159, 462

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 498 :

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

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (318, 498, 159, 462) = 3.

Given numbers are 318, 498, 159, 462

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 498 are 2 x 3 x 83

Prime factors of 159 are 3 x 53

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 318, 498, 159, 462 is 3.

Given numbers are 318, 498, 159, 462

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

Apply this formula for all numbers.

Step1:

LCM(318, 498) = 26394

GCD(318, 498) = ( 318 x 498 ) / 26394

= 318 / 498

= 318

Step2:

LCM(6, 159) = 318

GCD(6, 159) = ( 6 x 159 ) / 318

= 6 / 159

= 6

Step3:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

So, Greatest Common Divisor of 318, 498, 159, 462 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 125, 770, 273
• GCD of 509, 160, 478, 170
• GCD of 792, 494, 630, 604
• GCD of 945, 866, 295, 166
• GCD of 544, 516, 810, 509

Given numbers are 318, 498, 159, 462
The greatest common divisor of numbers 318, 498, 159, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 498, 159, 462 is 3.

1. What is the GCD of 318, 498, 159, 462?

GCD of given numbers 318, 498, 159, 462 is 3

2. How to calculate the greatest common divisor of 318, 498, 159, 462?

We can find the highest common divisor of 318, 498, 159, 462 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, 498, 159, 462 i.e 3.

3. How can I use the GCD of 318, 498, 159, 462Calculator?

Out the numbers 318, 498, 159, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.