GCD of 105, 301, 825, 360 Calculator

Given Input numbers are 105, 301, 825, 360

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 105, 301, 825, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 301, 825, 360 is 1.

Therefore, GCD of numbers 105, 301, 825, 360 is 1

Given Input Data is 105, 301, 825, 360

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 301 is 7 x 43

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(105, 301) = 4515

GCD(105, 301) = ( 105 x 301 ) / 4515

GCD(105, 301) = 31605 / 4515

GCD(105, 301) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 825

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

LCM(7, 825) = 5775

GCD(7, 825) = ( 7 x 825 ) / 5775

GCD(7, 825) = 5775 / 5775

GCD(7, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 105, 301, 825, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 250, 985, 329
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• GCD of 189, 515, 272, 775

1. What is the GCD of 105, 301, 825, 360?

GCD of 105, 301, 825, 360 is 1

2. Where do I get the detailed procedure to find GCD of 105, 301, 825, 360?

You can find a detailed procedure to find GCD of 105, 301, 825, 360 on our page.

3. How to find GCD of 105, 301, 825, 360 on a calculator?

You can find the GCD of 105, 301, 825, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.