GCD of 462, 310, 434, 366 Calculator

Given Input numbers are 462, 310, 434, 366

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 462, 310, 434, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 310, 434, 366 is 2.

Therefore, GCD of numbers 462, 310, 434, 366 is 2

Given Input Data is 462, 310, 434, 366

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 310 is 2 x 5 x 31

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 366 is 2 x 3 x 61

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, 310) = 71610

GCD(462, 310) = ( 462 x 310 ) / 71610

GCD(462, 310) = 143220 / 71610

GCD(462, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

GCD of 462, 310, 434, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 134, 650, 439
• GCD of 281, 239, 643, 140
• GCD of 285, 299, 497, 764
• GCD of 647, 540, 240, 621
• GCD of 286, 410, 966, 582

1. What is the GCD of 462, 310, 434, 366?

GCD of 462, 310, 434, 366 is 2

2. Where do I get the detailed procedure to find GCD of 462, 310, 434, 366?

You can find a detailed procedure to find GCD of 462, 310, 434, 366 on our page.

3. How to find GCD of 462, 310, 434, 366 on a calculator?

You can find the GCD of 462, 310, 434, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.