GCD of 991, 723, 49, 849 Calculator

Given Input numbers are 991, 723, 49, 849

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 991, 723, 49, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 723, 49, 849 is 1.

Therefore, GCD of numbers 991, 723, 49, 849 is 1

Given Input Data is 991, 723, 49, 849

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

Prime Factorization of 991 is 991

Prime Factorization of 723 is 3 x 241

Prime Factorization of 49 is 7 x 7

Prime Factorization of 849 is 3 x 283

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(991, 723) = 716493

GCD(991, 723) = ( 991 x 723 ) / 716493

GCD(991, 723) = 716493 / 716493

GCD(991, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 991, 723, 49, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 924, 29, 210
• GCD of 802, 868, 83, 357
• GCD of 303, 776, 51, 293
• GCD of 875, 765, 27, 364
• GCD of 946, 361, 97, 298

1. What is the GCD of 991, 723, 49, 849?

GCD of 991, 723, 49, 849 is 1

2. Where do I get the detailed procedure to find GCD of 991, 723, 49, 849?

You can find a detailed procedure to find GCD of 991, 723, 49, 849 on our page.

3. How to find GCD of 991, 723, 49, 849 on a calculator?

You can find the GCD of 991, 723, 49, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.