GCD of 215, 468, 365, 105 Calculator

Given Input numbers are 215, 468, 365, 105

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 105

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

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

Greatest Common Divisior

We found the divisors of 215, 468, 365, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 468, 365, 105 is 1.

Therefore, GCD of numbers 215, 468, 365, 105 is 1

Given Input Data is 215, 468, 365, 105

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 365 is 5 x 73

Prime Factorization of 105 is 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(215, 468) = 100620

GCD(215, 468) = ( 215 x 468 ) / 100620

GCD(215, 468) = 100620 / 100620

GCD(215, 468) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 215, 468, 365, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 141, 939, 231
• GCD of 255, 596, 835, 472
• GCD of 223, 331, 773, 192
• GCD of 757, 339, 155, 266
• GCD of 724, 958, 270, 295

1. What is the GCD of 215, 468, 365, 105?

GCD of 215, 468, 365, 105 is 1

2. Where do I get the detailed procedure to find GCD of 215, 468, 365, 105?

You can find a detailed procedure to find GCD of 215, 468, 365, 105 on our page.

3. How to find GCD of 215, 468, 365, 105 on a calculator?

You can find the GCD of 215, 468, 365, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.