GCD of 113, 869, 71, 108 Calculator

Given Input numbers are 113, 869, 71, 108

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Greatest Common Divisior

We found the divisors of 113, 869, 71, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 869, 71, 108 is 1.

Therefore, GCD of numbers 113, 869, 71, 108 is 1

Given Input Data is 113, 869, 71, 108

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

Prime Factorization of 113 is 113

Prime Factorization of 869 is 11 x 79

Prime Factorization of 71 is 71

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

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(113, 869) = 98197

GCD(113, 869) = ( 113 x 869 ) / 98197

GCD(113, 869) = 98197 / 98197

GCD(113, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 113, 869, 71, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 492, 26, 535
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• GCD of 719, 870, 60, 345

1. What is the GCD of 113, 869, 71, 108?

GCD of 113, 869, 71, 108 is 1

2. Where do I get the detailed procedure to find GCD of 113, 869, 71, 108?

You can find a detailed procedure to find GCD of 113, 869, 71, 108 on our page.

3. How to find GCD of 113, 869, 71, 108 on a calculator?

You can find the GCD of 113, 869, 71, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.