GCD of 468, 776, 344, 818 Calculator

Given Input numbers are 468, 776, 344, 818

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 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 468, 776, 344, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 776, 344, 818 is 2.

Therefore, GCD of numbers 468, 776, 344, 818 is 2

Given Input Data is 468, 776, 344, 818

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 776 is 2 x 2 x 2 x 97

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 818 is 2 x 409

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, 776) = 90792

GCD(468, 776) = ( 468 x 776 ) / 90792

GCD(468, 776) = 363168 / 90792

GCD(468, 776) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 344

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

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

GCD(4, 344) = 1376 / 344

GCD(4, 344) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 818

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

LCM(4, 818) = 1636

GCD(4, 818) = ( 4 x 818 ) / 1636

GCD(4, 818) = 3272 / 1636

GCD(4, 818) = 2

GCD of 468, 776, 344, 818 is 2

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1. What is the GCD of 468, 776, 344, 818?

GCD of 468, 776, 344, 818 is 2

2. Where do I get the detailed procedure to find GCD of 468, 776, 344, 818?

You can find a detailed procedure to find GCD of 468, 776, 344, 818 on our page.

3. How to find GCD of 468, 776, 344, 818 on a calculator?

You can find the GCD of 468, 776, 344, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.