GCD of 824, 132, 83, 232 Calculator

Given Input numbers are 824, 132, 83, 232

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 232

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

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

Greatest Common Divisior

We found the divisors of 824, 132, 83, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 132, 83, 232 is 1.

Therefore, GCD of numbers 824, 132, 83, 232 is 1

Given Input Data is 824, 132, 83, 232

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 83 is 83

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

The above numbers do not have any common prime factor. So GCD is 1

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(824, 132) = 27192

GCD(824, 132) = ( 824 x 132 ) / 27192

GCD(824, 132) = 108768 / 27192

GCD(824, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 83

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

LCM(4, 83) = 332

GCD(4, 83) = ( 4 x 83 ) / 332

GCD(4, 83) = 332 / 332

GCD(4, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 824, 132, 83, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 831, 34, 381
• GCD of 169, 863, 63, 655
• GCD of 314, 520, 25, 582
• GCD of 243, 795, 68, 297
• GCD of 999, 314, 10, 894

1. What is the GCD of 824, 132, 83, 232?

GCD of 824, 132, 83, 232 is 1

2. Where do I get the detailed procedure to find GCD of 824, 132, 83, 232?

You can find a detailed procedure to find GCD of 824, 132, 83, 232 on our page.

3. How to find GCD of 824, 132, 83, 232 on a calculator?

You can find the GCD of 824, 132, 83, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.