GCD of 218, 275, 315 Calculator

Given Input numbers are 218, 275, 315

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 218, 275, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 275, 315 is 1.

Therefore, GCD of numbers 218, 275, 315 is 1

Given Input Data is 218, 275, 315

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 275 is 5 x 5 x 11

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(218, 275) = 59950

GCD(218, 275) = ( 218 x 275 ) / 59950

GCD(218, 275) = 59950 / 59950

GCD(218, 275) = 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

GCD of 218, 275, 315 is 1

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1. What is the GCD of 218, 275, 315?

GCD of 218, 275, 315 is 1

2. Where do I get the detailed procedure to find GCD of 218, 275, 315?

You can find a detailed procedure to find GCD of 218, 275, 315 on our page.

3. How to find GCD of 218, 275, 315 on a calculator?

You can find the GCD of 218, 275, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.