GCD of 796, 456, 172, 218 Calculator

Given Input numbers are 796, 456, 172, 218

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 796, 456, 172, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 456, 172, 218 is 2.

Therefore, GCD of numbers 796, 456, 172, 218 is 2

Given Input Data is 796, 456, 172, 218

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 218 is 2 x 109

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(796, 456) = 90744

GCD(796, 456) = ( 796 x 456 ) / 90744

GCD(796, 456) = 362976 / 90744

GCD(796, 456) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 172

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

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

GCD(4, 172) = 688 / 172

GCD(4, 172) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 218

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

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

GCD(4, 218) = 872 / 436

GCD(4, 218) = 2

GCD of 796, 456, 172, 218 is 2

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1. What is the GCD of 796, 456, 172, 218?

GCD of 796, 456, 172, 218 is 2

2. Where do I get the detailed procedure to find GCD of 796, 456, 172, 218?

You can find a detailed procedure to find GCD of 796, 456, 172, 218 on our page.

3. How to find GCD of 796, 456, 172, 218 on a calculator?

You can find the GCD of 796, 456, 172, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.