GCD of 113, 993, 108, 802 Calculator

Given Input numbers are 113, 993, 108, 802

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 113, 993, 108, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 993, 108, 802 is 1.

Therefore, GCD of numbers 113, 993, 108, 802 is 1

Given Input Data is 113, 993, 108, 802

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

Prime Factorization of 113 is 113

Prime Factorization of 993 is 3 x 331

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

Prime Factorization of 802 is 2 x 401

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, 993) = 112209

GCD(113, 993) = ( 113 x 993 ) / 112209

GCD(113, 993) = 112209 / 112209

GCD(113, 993) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 113, 993, 108, 802 is 1

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1. What is the GCD of 113, 993, 108, 802?

GCD of 113, 993, 108, 802 is 1

2. Where do I get the detailed procedure to find GCD of 113, 993, 108, 802?

You can find a detailed procedure to find GCD of 113, 993, 108, 802 on our page.

3. How to find GCD of 113, 993, 108, 802 on a calculator?

You can find the GCD of 113, 993, 108, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.