GCD of 899, 695, 21, 115 Calculator

Given Input numbers are 899, 695, 21, 115

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 899, 695, 21, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 695, 21, 115 is 1.

Therefore, GCD of numbers 899, 695, 21, 115 is 1

Given Input Data is 899, 695, 21, 115

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 695 is 5 x 139

Prime Factorization of 21 is 3 x 7

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(899, 695) = 624805

GCD(899, 695) = ( 899 x 695 ) / 624805

GCD(899, 695) = 624805 / 624805

GCD(899, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 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 899, 695, 21, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 331, 44, 544
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• GCD of 934, 838, 18, 475
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• GCD of 413, 112, 99, 638

1. What is the GCD of 899, 695, 21, 115?

GCD of 899, 695, 21, 115 is 1

2. Where do I get the detailed procedure to find GCD of 899, 695, 21, 115?

You can find a detailed procedure to find GCD of 899, 695, 21, 115 on our page.

3. How to find GCD of 899, 695, 21, 115 on a calculator?

You can find the GCD of 899, 695, 21, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.