GCD of 352, 180, 76, 831 Calculator

Given Input numbers are 352, 180, 76, 831

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 352, 180, 76, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 180, 76, 831 is 1.

Therefore, GCD of numbers 352, 180, 76, 831 is 1

Given Input Data is 352, 180, 76, 831

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 831 is 3 x 277

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(352, 180) = 15840

GCD(352, 180) = ( 352 x 180 ) / 15840

GCD(352, 180) = 63360 / 15840

GCD(352, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 831

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

LCM(4, 831) = 3324

GCD(4, 831) = ( 4 x 831 ) / 3324

GCD(4, 831) = 3324 / 3324

GCD(4, 831) = 1

GCD of 352, 180, 76, 831 is 1

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1. What is the GCD of 352, 180, 76, 831?

GCD of 352, 180, 76, 831 is 1

2. Where do I get the detailed procedure to find GCD of 352, 180, 76, 831?

You can find a detailed procedure to find GCD of 352, 180, 76, 831 on our page.

3. How to find GCD of 352, 180, 76, 831 on a calculator?

You can find the GCD of 352, 180, 76, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.