GCD of 232, 956, 236, 712 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 232, 956, 236, 712 i.e. 4 largest integer that divides all the numbers equally.

GCD of 232, 956, 236, 712 is 4

GCD(232, 956, 236, 712) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 232, 956, 236, 712 is 4

GCD(232, 956, 236, 712) = 4

GCD of 232,956,236,712 Calculator

GCDof 232,956,236,712 is 4

Given Input numbers are 232, 956, 236, 712

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 236

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

1, 2, 4, 59, 118, 236

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 232, 956, 236, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 956, 236, 712 is 4.

Therefore, GCD of numbers 232, 956, 236, 712 is 4

Finding GCD of 232, 956, 236, 712 using Prime Factorization

Given Input Data is 232, 956, 236, 712

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 956 is 2 x 2 x 239

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 712 is 2 x 2 x 2 x 89

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 232, 956, 236, 712 using LCM Formula

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, 956) = 55448

GCD(232, 956) = ( 232 x 956 ) / 55448

GCD(232, 956) = 221792 / 55448

GCD(232, 956) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 236

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

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

GCD(4, 236) = 944 / 236

GCD(4, 236) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 712

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

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

GCD(4, 712) = 2848 / 712

GCD(4, 712) = 4

GCD of 232, 956, 236, 712 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 232, 956, 236, 712

1. What is the GCD of 232, 956, 236, 712?

GCD of 232, 956, 236, 712 is 4


2. Where do I get the detailed procedure to find GCD of 232, 956, 236, 712?

You can find a detailed procedure to find GCD of 232, 956, 236, 712 on our page.


3. How to find GCD of 232, 956, 236, 712 on a calculator?

You can find the GCD of 232, 956, 236, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.