GCD of 468, 896, 666, 814 Calculator

Given Input numbers are 468, 896, 666, 814

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 468, 896, 666, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 896, 666, 814 is 2.

Therefore, GCD of numbers 468, 896, 666, 814 is 2

Given Input Data is 468, 896, 666, 814

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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 814 is 2 x 11 x 37

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, 896) = 104832

GCD(468, 896) = ( 468 x 896 ) / 104832

GCD(468, 896) = 419328 / 104832

GCD(468, 896) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 666

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

LCM(4, 666) = 1332

GCD(4, 666) = ( 4 x 666 ) / 1332

GCD(4, 666) = 2664 / 1332

GCD(4, 666) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 468, 896, 666, 814 is 2

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1. What is the GCD of 468, 896, 666, 814?

GCD of 468, 896, 666, 814 is 2

2. Where do I get the detailed procedure to find GCD of 468, 896, 666, 814?

You can find a detailed procedure to find GCD of 468, 896, 666, 814 on our page.

3. How to find GCD of 468, 896, 666, 814 on a calculator?

You can find the GCD of 468, 896, 666, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.