GCD of 113, 990, 86, 781 Calculator

Given Input numbers are 113, 990, 86, 781

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 86

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

1, 2, 43, 86

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 113, 990, 86, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 990, 86, 781 is 1.

Therefore, GCD of numbers 113, 990, 86, 781 is 1

Given Input Data is 113, 990, 86, 781

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

Prime Factorization of 113 is 113

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 86 is 2 x 43

Prime Factorization of 781 is 11 x 71

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, 990) = 111870

GCD(113, 990) = ( 113 x 990 ) / 111870

GCD(113, 990) = 111870 / 111870

GCD(113, 990) = 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 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 1

GCD of 113, 990, 86, 781 is 1

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1. What is the GCD of 113, 990, 86, 781?

GCD of 113, 990, 86, 781 is 1

2. Where do I get the detailed procedure to find GCD of 113, 990, 86, 781?

You can find a detailed procedure to find GCD of 113, 990, 86, 781 on our page.

3. How to find GCD of 113, 990, 86, 781 on a calculator?

You can find the GCD of 113, 990, 86, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.