GCD of 349, 475, 243, 309 Calculator

Given Input numbers are 349, 475, 243, 309

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 349, 475, 243, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 475, 243, 309 is 1.

Therefore, GCD of numbers 349, 475, 243, 309 is 1

Given Input Data is 349, 475, 243, 309

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

Prime Factorization of 349 is 349

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 309 is 3 x 103

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(349, 475) = 165775

GCD(349, 475) = ( 349 x 475 ) / 165775

GCD(349, 475) = 165775 / 165775

GCD(349, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 349, 475, 243, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 918, 154, 364
• GCD of 775, 280, 812, 918
• GCD of 331, 108, 306, 448
• GCD of 778, 855, 998, 863
• GCD of 421, 658, 249, 181

1. What is the GCD of 349, 475, 243, 309?

GCD of 349, 475, 243, 309 is 1

2. Where do I get the detailed procedure to find GCD of 349, 475, 243, 309?

You can find a detailed procedure to find GCD of 349, 475, 243, 309 on our page.

3. How to find GCD of 349, 475, 243, 309 on a calculator?

You can find the GCD of 349, 475, 243, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.