GCD of 462, 348, 18 Calculator

Given Input numbers are 462, 348, 18

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

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

GCD of numbers is the greatest common divisor

So, the GCD (462, 348, 18) = 6.

Given numbers are 462, 348, 18

The list of prime factors of all numbers are

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 18 are 2 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 462, 348, 18 is 6.

Given numbers are 462, 348, 18

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

Apply this formula for all numbers.

Step1:

LCM(462, 348) = 26796

GCD(462, 348) = ( 462 x 348 ) / 26796

= 462 / 348

= 462

Step2:

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

= 6 / 18

= 6

So, Greatest Common Divisor of 462, 348, 18 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 384, 91
• GCD of 251, 150, 50
• GCD of 572, 172, 87
• GCD of 866, 322, 92
• GCD of 632, 911, 94

Given numbers are 462, 348, 18
The greatest common divisor of numbers 462, 348, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 348, 18 is 6.

1. What is the GCD of 462, 348, 18?

GCD of given numbers 462, 348, 18 is 6

2. How to calculate the greatest common divisor of 462, 348, 18?

We can find the highest common divisor of 462, 348, 18 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 462, 348, 18 i.e 6.

3. How can I use the GCD of 462, 348, 18Calculator?

Out the numbers 462, 348, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.