GCD of 315, 275, 209 Calculator

Given Input numbers are 315, 275, 209

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 275

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

1, 5, 11, 25, 55, 275

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 315, 275, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 275, 209 is 1.

Therefore, GCD of numbers 315, 275, 209 is 1

Given Input Data is 315, 275, 209

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 275 is 5 x 5 x 11

Prime Factorization of 209 is 11 x 19

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, 275) = 17325

GCD(315, 275) = ( 315 x 275 ) / 17325

GCD(315, 275) = 86625 / 17325

GCD(315, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 209

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

LCM(5, 209) = 1045

GCD(5, 209) = ( 5 x 209 ) / 1045

GCD(5, 209) = 1045 / 1045

GCD(5, 209) = 1

GCD of 315, 275, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 597, 239
• GCD of 148, 309, 673
• GCD of 580, 769, 906
• GCD of 212, 298, 535
• GCD of 393, 211, 653

1. What is the GCD of 315, 275, 209?

GCD of 315, 275, 209 is 1

2. Where do I get the detailed procedure to find GCD of 315, 275, 209?

You can find a detailed procedure to find GCD of 315, 275, 209 on our page.

3. How to find GCD of 315, 275, 209 on a calculator?

You can find the GCD of 315, 275, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.