GCD of 369, 288, 352, 515 Calculator

Given Input numbers are 369, 288, 352, 515

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 369, 288, 352, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 288, 352, 515 is 1.

Therefore, GCD of numbers 369, 288, 352, 515 is 1

Given Input Data is 369, 288, 352, 515

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 515 is 5 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(369, 288) = 11808

GCD(369, 288) = ( 369 x 288 ) / 11808

GCD(369, 288) = 106272 / 11808

GCD(369, 288) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 352

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

LCM(9, 352) = 3168

GCD(9, 352) = ( 9 x 352 ) / 3168

GCD(9, 352) = 3168 / 3168

GCD(9, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 1

GCD of 369, 288, 352, 515 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 481, 245, 678
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• GCD of 119, 134, 834, 715
• GCD of 342, 210, 351, 689

1. What is the GCD of 369, 288, 352, 515?

GCD of 369, 288, 352, 515 is 1

2. Where do I get the detailed procedure to find GCD of 369, 288, 352, 515?

You can find a detailed procedure to find GCD of 369, 288, 352, 515 on our page.

3. How to find GCD of 369, 288, 352, 515 on a calculator?

You can find the GCD of 369, 288, 352, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.