GCD of 83, 573, 315, 352 Calculator

Given Input numbers are 83, 573, 315, 352

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

Divisors of 83

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

1, 83

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

Greatest Common Divisior

We found the divisors of 83, 573, 315, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 573, 315, 352 is 1.

Therefore, GCD of numbers 83, 573, 315, 352 is 1

Given Input Data is 83, 573, 315, 352

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

Prime Factorization of 83 is 83

Prime Factorization of 573 is 3 x 191

Prime Factorization of 315 is 3 x 3 x 5 x 7

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

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(83, 573) = 47559

GCD(83, 573) = ( 83 x 573 ) / 47559

GCD(83, 573) = 47559 / 47559

GCD(83, 573) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 83, 573, 315, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 422, 193, 708
• GCD of 78, 252, 503, 316
• GCD of 43, 252, 538, 151
• GCD of 13, 916, 751, 760
• GCD of 92, 671, 601, 725

1. What is the GCD of 83, 573, 315, 352?

GCD of 83, 573, 315, 352 is 1

2. Where do I get the detailed procedure to find GCD of 83, 573, 315, 352?

You can find a detailed procedure to find GCD of 83, 573, 315, 352 on our page.

3. How to find GCD of 83, 573, 315, 352 on a calculator?

You can find the GCD of 83, 573, 315, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.