GCD of 889, 691, 991, 109 Calculator

Given Input numbers are 889, 691, 991, 109

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 991

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

1, 991

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 889, 691, 991, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 691, 991, 109 is 1.

Therefore, GCD of numbers 889, 691, 991, 109 is 1

Given Input Data is 889, 691, 991, 109

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 691 is 691

Prime Factorization of 991 is 991

Prime Factorization of 109 is 109

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(889, 691) = 614299

GCD(889, 691) = ( 889 x 691 ) / 614299

GCD(889, 691) = 614299 / 614299

GCD(889, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 889, 691, 991, 109 is 1

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1. What is the GCD of 889, 691, 991, 109?

GCD of 889, 691, 991, 109 is 1

2. Where do I get the detailed procedure to find GCD of 889, 691, 991, 109?

You can find a detailed procedure to find GCD of 889, 691, 991, 109 on our page.

3. How to find GCD of 889, 691, 991, 109 on a calculator?

You can find the GCD of 889, 691, 991, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.