GCD of 991, 830, 561, 731 Calculator

Given Input numbers are 991, 830, 561, 731

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 991, 830, 561, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 830, 561, 731 is 1.

Therefore, GCD of numbers 991, 830, 561, 731 is 1

Given Input Data is 991, 830, 561, 731

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

Prime Factorization of 991 is 991

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 731 is 17 x 43

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, 830) = 822530

GCD(991, 830) = ( 991 x 830 ) / 822530

GCD(991, 830) = 822530 / 822530

GCD(991, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 991, 830, 561, 731 is 1

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1. What is the GCD of 991, 830, 561, 731?

GCD of 991, 830, 561, 731 is 1

2. Where do I get the detailed procedure to find GCD of 991, 830, 561, 731?

You can find a detailed procedure to find GCD of 991, 830, 561, 731 on our page.

3. How to find GCD of 991, 830, 561, 731 on a calculator?

You can find the GCD of 991, 830, 561, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.