GCD of 434, 186, 864, 462 Calculator

Given Input numbers are 434, 186, 864, 462

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

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 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 434, 186, 864, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 186, 864, 462 is 2.

Therefore, GCD of numbers 434, 186, 864, 462 is 2

Given Input Data is 434, 186, 864, 462

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(434, 186) = 1302

GCD(434, 186) = ( 434 x 186 ) / 1302

GCD(434, 186) = 80724 / 1302

GCD(434, 186) = 62

Step2:

Here we consider the GCD from the above i.e. 62 as first number and the next as 864

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

LCM(62, 864) = 26784

GCD(62, 864) = ( 62 x 864 ) / 26784

GCD(62, 864) = 53568 / 26784

GCD(62, 864) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 434, 186, 864, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 518, 975, 684
• GCD of 835, 963, 411, 144
• GCD of 919, 994, 300, 579
• GCD of 189, 434, 792, 673
• GCD of 468, 353, 216, 422

1. What is the GCD of 434, 186, 864, 462?

GCD of 434, 186, 864, 462 is 2

2. Where do I get the detailed procedure to find GCD of 434, 186, 864, 462?

You can find a detailed procedure to find GCD of 434, 186, 864, 462 on our page.

3. How to find GCD of 434, 186, 864, 462 on a calculator?

You can find the GCD of 434, 186, 864, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.