GCD of 208, 853, 225, 115 Calculator

Given Input numbers are 208, 853, 225, 115

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 208, 853, 225, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 853, 225, 115 is 1.

Therefore, GCD of numbers 208, 853, 225, 115 is 1

Given Input Data is 208, 853, 225, 115

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 853 is 853

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 115 is 5 x 23

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(208, 853) = 177424

GCD(208, 853) = ( 208 x 853 ) / 177424

GCD(208, 853) = 177424 / 177424

GCD(208, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 208, 853, 225, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 413, 464, 665
• GCD of 802, 398, 842, 107
• GCD of 462, 849, 917, 334
• GCD of 690, 915, 124, 936
• GCD of 400, 186, 138, 518

1. What is the GCD of 208, 853, 225, 115?

GCD of 208, 853, 225, 115 is 1

2. Where do I get the detailed procedure to find GCD of 208, 853, 225, 115?

You can find a detailed procedure to find GCD of 208, 853, 225, 115 on our page.

3. How to find GCD of 208, 853, 225, 115 on a calculator?

You can find the GCD of 208, 853, 225, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.