GCD of 232, 728, 52, 464 Calculator

Given Input numbers are 232, 728, 52, 464

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 232, 728, 52, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 728, 52, 464 is 4.

Therefore, GCD of numbers 232, 728, 52, 464 is 4

Given Input Data is 232, 728, 52, 464

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(232, 728) = 21112

GCD(232, 728) = ( 232 x 728 ) / 21112

GCD(232, 728) = 168896 / 21112

GCD(232, 728) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 52

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

LCM(8, 52) = 104

GCD(8, 52) = ( 8 x 52 ) / 104

GCD(8, 52) = 416 / 104

GCD(8, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 464

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

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

GCD(4, 464) = 1856 / 464

GCD(4, 464) = 4

GCD of 232, 728, 52, 464 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 457, 56, 432
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• GCD of 720, 463, 41, 612
• GCD of 163, 927, 76, 227

1. What is the GCD of 232, 728, 52, 464?

GCD of 232, 728, 52, 464 is 4

2. Where do I get the detailed procedure to find GCD of 232, 728, 52, 464?

You can find a detailed procedure to find GCD of 232, 728, 52, 464 on our page.

3. How to find GCD of 232, 728, 52, 464 on a calculator?

You can find the GCD of 232, 728, 52, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.