GCD of 468, 120, 16, 462 Calculator

Given Input numbers are 468, 120, 16, 462

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

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

Greatest Common Divisior

We found the divisors of 468, 120, 16, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 120, 16, 462 is 2.

Therefore, GCD of numbers 468, 120, 16, 462 is 2

Given Input Data is 468, 120, 16, 462

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 462 is 2 x 3 x 7 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(468, 120) = 4680

GCD(468, 120) = ( 468 x 120 ) / 4680

GCD(468, 120) = 56160 / 4680

GCD(468, 120) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 16

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

LCM(12, 16) = 48

GCD(12, 16) = ( 12 x 16 ) / 48

GCD(12, 16) = 192 / 48

GCD(12, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 462

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

LCM(4, 462) = 924

GCD(4, 462) = ( 4 x 462 ) / 924

GCD(4, 462) = 1848 / 924

GCD(4, 462) = 2

GCD of 468, 120, 16, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 723, 61, 454
• GCD of 444, 785, 33, 775
• GCD of 968, 830, 51, 374
• GCD of 711, 842, 11, 769
• GCD of 321, 715, 41, 985

1. What is the GCD of 468, 120, 16, 462?

GCD of 468, 120, 16, 462 is 2

2. Where do I get the detailed procedure to find GCD of 468, 120, 16, 462?

You can find a detailed procedure to find GCD of 468, 120, 16, 462 on our page.

3. How to find GCD of 468, 120, 16, 462 on a calculator?

You can find the GCD of 468, 120, 16, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.