GCD of 349, 264, 315 Calculator

Given Input numbers are 349, 264, 315

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 349, 264, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 264, 315 is 1.

Therefore, GCD of numbers 349, 264, 315 is 1

Given Input Data is 349, 264, 315

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

Prime Factorization of 349 is 349

Prime Factorization of 264 is 2 x 2 x 2 x 3 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(349, 264) = 92136

GCD(349, 264) = ( 349 x 264 ) / 92136

GCD(349, 264) = 92136 / 92136

GCD(349, 264) = 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 349, 264, 315 is 1

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1. What is the GCD of 349, 264, 315?

GCD of 349, 264, 315 is 1

2. Where do I get the detailed procedure to find GCD of 349, 264, 315?

You can find a detailed procedure to find GCD of 349, 264, 315 on our page.

3. How to find GCD of 349, 264, 315 on a calculator?

You can find the GCD of 349, 264, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.