GCD of 888, 498, 728, 736 Calculator

Given Input numbers are 888, 498, 728, 736

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

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 888, 498, 728, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 498, 728, 736 is 2.

Therefore, GCD of numbers 888, 498, 728, 736 is 2

Given Input Data is 888, 498, 728, 736

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(888, 498) = 73704

GCD(888, 498) = ( 888 x 498 ) / 73704

GCD(888, 498) = 442224 / 73704

GCD(888, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 728

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

LCM(6, 728) = 2184

GCD(6, 728) = ( 6 x 728 ) / 2184

GCD(6, 728) = 4368 / 2184

GCD(6, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 888, 498, 728, 736 is 2

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1. What is the GCD of 888, 498, 728, 736?

GCD of 888, 498, 728, 736 is 2

2. Where do I get the detailed procedure to find GCD of 888, 498, 728, 736?

You can find a detailed procedure to find GCD of 888, 498, 728, 736 on our page.

3. How to find GCD of 888, 498, 728, 736 on a calculator?

You can find the GCD of 888, 498, 728, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.