GCD of 726, 218, 808, 988 Calculator

Given Input numbers are 726, 218, 808, 988

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 218

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

1, 2, 109, 218

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 726, 218, 808, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 218, 808, 988 is 2.

Therefore, GCD of numbers 726, 218, 808, 988 is 2

Given Input Data is 726, 218, 808, 988

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 218 is 2 x 109

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(726, 218) = 79134

GCD(726, 218) = ( 726 x 218 ) / 79134

GCD(726, 218) = 158268 / 79134

GCD(726, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 726, 218, 808, 988 is 2

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1. What is the GCD of 726, 218, 808, 988?

GCD of 726, 218, 808, 988 is 2

2. Where do I get the detailed procedure to find GCD of 726, 218, 808, 988?

You can find a detailed procedure to find GCD of 726, 218, 808, 988 on our page.

3. How to find GCD of 726, 218, 808, 988 on a calculator?

You can find the GCD of 726, 218, 808, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.