GCD of 728, 236, 476 Calculator

Given Input numbers are 728, 236, 476

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

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 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 728, 236, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 236, 476 is 4.

Therefore, GCD of numbers 728, 236, 476 is 4

Given Input Data is 728, 236, 476

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

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 476 is 2 x 2 x 7 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(728, 236) = 42952

GCD(728, 236) = ( 728 x 236 ) / 42952

GCD(728, 236) = 171808 / 42952

GCD(728, 236) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 476

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

LCM(4, 476) = 476

GCD(4, 476) = ( 4 x 476 ) / 476

GCD(4, 476) = 1904 / 476

GCD(4, 476) = 4

GCD of 728, 236, 476 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 801, 341
• GCD of 195, 561, 758
• GCD of 592, 889, 430
• GCD of 186, 684, 130
• GCD of 475, 850, 220

1. What is the GCD of 728, 236, 476?

GCD of 728, 236, 476 is 4

2. Where do I get the detailed procedure to find GCD of 728, 236, 476?

You can find a detailed procedure to find GCD of 728, 236, 476 on our page.

3. How to find GCD of 728, 236, 476 on a calculator?

You can find the GCD of 728, 236, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.