GCD of 113, 104, 86, 637 Calculator

Given Input numbers are 113, 104, 86, 637

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 113, 104, 86, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 104, 86, 637 is 1.

Therefore, GCD of numbers 113, 104, 86, 637 is 1

Given Input Data is 113, 104, 86, 637

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

Prime Factorization of 113 is 113

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 86 is 2 x 43

Prime Factorization of 637 is 7 x 7 x 13

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, 104) = 11752

GCD(113, 104) = ( 113 x 104 ) / 11752

GCD(113, 104) = 11752 / 11752

GCD(113, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 113, 104, 86, 637 is 1

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1. What is the GCD of 113, 104, 86, 637?

GCD of 113, 104, 86, 637 is 1

2. Where do I get the detailed procedure to find GCD of 113, 104, 86, 637?

You can find a detailed procedure to find GCD of 113, 104, 86, 637 on our page.

3. How to find GCD of 113, 104, 86, 637 on a calculator?

You can find the GCD of 113, 104, 86, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.