GCD of 315, 220, 43, 233 Calculator

Given Input numbers are 315, 220, 43, 233

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 315, 220, 43, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 220, 43, 233 is 1.

Therefore, GCD of numbers 315, 220, 43, 233 is 1

Given Input Data is 315, 220, 43, 233

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 220 is 2 x 2 x 5 x 11

Prime Factorization of 43 is 43

Prime Factorization of 233 is 233

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, 220) = 13860

GCD(315, 220) = ( 315 x 220 ) / 13860

GCD(315, 220) = 69300 / 13860

GCD(315, 220) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 43

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

LCM(5, 43) = 215

GCD(5, 43) = ( 5 x 43 ) / 215

GCD(5, 43) = 215 / 215

GCD(5, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 233

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

LCM(1, 233) = 233

GCD(1, 233) = ( 1 x 233 ) / 233

GCD(1, 233) = 233 / 233

GCD(1, 233) = 1

GCD of 315, 220, 43, 233 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 967, 86, 997
• GCD of 337, 260, 30, 786
• GCD of 342, 958, 90, 243
• GCD of 207, 219, 82, 913
• GCD of 329, 808, 92, 555

1. What is the GCD of 315, 220, 43, 233?

GCD of 315, 220, 43, 233 is 1

2. Where do I get the detailed procedure to find GCD of 315, 220, 43, 233?

You can find a detailed procedure to find GCD of 315, 220, 43, 233 on our page.

3. How to find GCD of 315, 220, 43, 233 on a calculator?

You can find the GCD of 315, 220, 43, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.