GCD of 315, 160, 33, 983 Calculator

Given Input numbers are 315, 160, 33, 983

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

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 315, 160, 33, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 160, 33, 983 is 1.

Therefore, GCD of numbers 315, 160, 33, 983 is 1

Given Input Data is 315, 160, 33, 983

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

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 33 is 3 x 11

Prime Factorization of 983 is 983

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(315, 160) = 10080

GCD(315, 160) = ( 315 x 160 ) / 10080

GCD(315, 160) = 50400 / 10080

GCD(315, 160) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 33

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

LCM(5, 33) = 165

GCD(5, 33) = ( 5 x 33 ) / 165

GCD(5, 33) = 165 / 165

GCD(5, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 315, 160, 33, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 262, 78, 222
• GCD of 122, 909, 83, 882
• GCD of 328, 885, 80, 320
• GCD of 501, 882, 86, 268
• GCD of 802, 690, 83, 268

1. What is the GCD of 315, 160, 33, 983?

GCD of 315, 160, 33, 983 is 1

2. Where do I get the detailed procedure to find GCD of 315, 160, 33, 983?

You can find a detailed procedure to find GCD of 315, 160, 33, 983 on our page.

3. How to find GCD of 315, 160, 33, 983 on a calculator?

You can find the GCD of 315, 160, 33, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.