GCD of 996, 217, 23, 315 Calculator

Given Input numbers are 996, 217, 23, 315

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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

Greatest Common Divisior

We found the divisors of 996, 217, 23, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 217, 23, 315 is 1.

Therefore, GCD of numbers 996, 217, 23, 315 is 1

Given Input Data is 996, 217, 23, 315

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 217 is 7 x 31

Prime Factorization of 23 is 23

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

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(996, 217) = 216132

GCD(996, 217) = ( 996 x 217 ) / 216132

GCD(996, 217) = 216132 / 216132

GCD(996, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

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

GCD of 996, 217, 23, 315 is 1

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1. What is the GCD of 996, 217, 23, 315?

GCD of 996, 217, 23, 315 is 1

2. Where do I get the detailed procedure to find GCD of 996, 217, 23, 315?

You can find a detailed procedure to find GCD of 996, 217, 23, 315 on our page.

3. How to find GCD of 996, 217, 23, 315 on a calculator?

You can find the GCD of 996, 217, 23, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.