GCD of 991, 110, 21, 834 Calculator

Given Input numbers are 991, 110, 21, 834

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 991, 110, 21, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 110, 21, 834 is 1.

Therefore, GCD of numbers 991, 110, 21, 834 is 1

Given Input Data is 991, 110, 21, 834

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

Prime Factorization of 991 is 991

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 834 is 2 x 3 x 139

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, 110) = 109010

GCD(991, 110) = ( 991 x 110 ) / 109010

GCD(991, 110) = 109010 / 109010

GCD(991, 110) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 991, 110, 21, 834 is 1

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1. What is the GCD of 991, 110, 21, 834?

GCD of 991, 110, 21, 834 is 1

2. Where do I get the detailed procedure to find GCD of 991, 110, 21, 834?

You can find a detailed procedure to find GCD of 991, 110, 21, 834 on our page.

3. How to find GCD of 991, 110, 21, 834 on a calculator?

You can find the GCD of 991, 110, 21, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.