GCD of 232, 112, 68, 524 Calculator

Given Input numbers are 232, 112, 68, 524

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 232, 112, 68, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 112, 68, 524 is 4.

Therefore, GCD of numbers 232, 112, 68, 524 is 4

Given Input Data is 232, 112, 68, 524

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 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 524 is 2 x 2 x 131

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, 112) = 3248

GCD(232, 112) = ( 232 x 112 ) / 3248

GCD(232, 112) = 25984 / 3248

GCD(232, 112) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 68

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

LCM(8, 68) = 136

GCD(8, 68) = ( 8 x 68 ) / 136

GCD(8, 68) = 544 / 136

GCD(8, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 524

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

LCM(4, 524) = 524

GCD(4, 524) = ( 4 x 524 ) / 524

GCD(4, 524) = 2096 / 524

GCD(4, 524) = 4

GCD of 232, 112, 68, 524 is 4

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• GCD of 340, 427, 62, 301
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1. What is the GCD of 232, 112, 68, 524?

GCD of 232, 112, 68, 524 is 4

2. Where do I get the detailed procedure to find GCD of 232, 112, 68, 524?

You can find a detailed procedure to find GCD of 232, 112, 68, 524 on our page.

3. How to find GCD of 232, 112, 68, 524 on a calculator?

You can find the GCD of 232, 112, 68, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.