GCD of 217, 245, 319, 829 Calculator

Given Input numbers are 217, 245, 319, 829

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

Divisors of 217

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

1, 7, 31, 217

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 217, 245, 319, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 245, 319, 829 is 1.

Therefore, GCD of numbers 217, 245, 319, 829 is 1

Given Input Data is 217, 245, 319, 829

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 319 is 11 x 29

Prime Factorization of 829 is 829

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(217, 245) = 7595

GCD(217, 245) = ( 217 x 245 ) / 7595

GCD(217, 245) = 53165 / 7595

GCD(217, 245) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 319

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

LCM(7, 319) = 2233

GCD(7, 319) = ( 7 x 319 ) / 2233

GCD(7, 319) = 2233 / 2233

GCD(7, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 217, 245, 319, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 211, 870, 353
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• GCD of 567, 165, 772, 489
• GCD of 498, 917, 693, 138
• GCD of 355, 396, 931, 866

1. What is the GCD of 217, 245, 319, 829?

GCD of 217, 245, 319, 829 is 1

2. Where do I get the detailed procedure to find GCD of 217, 245, 319, 829?

You can find a detailed procedure to find GCD of 217, 245, 319, 829 on our page.

3. How to find GCD of 217, 245, 319, 829 on a calculator?

You can find the GCD of 217, 245, 319, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.