GCD of 462, 106, 12, 278 Calculator

Given Input numbers are 462, 106, 12, 278

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

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 462, 106, 12, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 106, 12, 278 is 2.

Therefore, GCD of numbers 462, 106, 12, 278 is 2

Given Input Data is 462, 106, 12, 278

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

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 278 is 2 x 139

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(462, 106) = 24486

GCD(462, 106) = ( 462 x 106 ) / 24486

GCD(462, 106) = 48972 / 24486

GCD(462, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

GCD of 462, 106, 12, 278 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 303, 56, 766
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• GCD of 993, 856, 87, 275
• GCD of 841, 212, 59, 143

1. What is the GCD of 462, 106, 12, 278?

GCD of 462, 106, 12, 278 is 2

2. Where do I get the detailed procedure to find GCD of 462, 106, 12, 278?

You can find a detailed procedure to find GCD of 462, 106, 12, 278 on our page.

3. How to find GCD of 462, 106, 12, 278 on a calculator?

You can find the GCD of 462, 106, 12, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.