GCD of 108, 515, 25, 894 Calculator

Given Input numbers are 108, 515, 25, 894

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 515

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

1, 5, 103, 515

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 108, 515, 25, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 515, 25, 894 is 1.

Therefore, GCD of numbers 108, 515, 25, 894 is 1

Given Input Data is 108, 515, 25, 894

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 515 is 5 x 103

Prime Factorization of 25 is 5 x 5

Prime Factorization of 894 is 2 x 3 x 149

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(108, 515) = 55620

GCD(108, 515) = ( 108 x 515 ) / 55620

GCD(108, 515) = 55620 / 55620

GCD(108, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 108, 515, 25, 894 is 1

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1. What is the GCD of 108, 515, 25, 894?

GCD of 108, 515, 25, 894 is 1

2. Where do I get the detailed procedure to find GCD of 108, 515, 25, 894?

You can find a detailed procedure to find GCD of 108, 515, 25, 894 on our page.

3. How to find GCD of 108, 515, 25, 894 on a calculator?

You can find the GCD of 108, 515, 25, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.