GCD of 713, 105, 95, 990 Calculator

Given Input numbers are 713, 105, 95, 990

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

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

Greatest Common Divisior

We found the divisors of 713, 105, 95, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 105, 95, 990 is 1.

Therefore, GCD of numbers 713, 105, 95, 990 is 1

Given Input Data is 713, 105, 95, 990

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 95 is 5 x 19

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

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(713, 105) = 74865

GCD(713, 105) = ( 713 x 105 ) / 74865

GCD(713, 105) = 74865 / 74865

GCD(713, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 95

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

LCM(1, 95) = 95

GCD(1, 95) = ( 1 x 95 ) / 95

GCD(1, 95) = 95 / 95

GCD(1, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 713, 105, 95, 990 is 1

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1. What is the GCD of 713, 105, 95, 990?

GCD of 713, 105, 95, 990 is 1

2. Where do I get the detailed procedure to find GCD of 713, 105, 95, 990?

You can find a detailed procedure to find GCD of 713, 105, 95, 990 on our page.

3. How to find GCD of 713, 105, 95, 990 on a calculator?

You can find the GCD of 713, 105, 95, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.