GCD of 91, 561, 697, 890 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 91, 561, 697, 890 i.e. 1 largest integer that divides all the numbers equally.

GCD of 91, 561, 697, 890 is 1

GCD(91, 561, 697, 890) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 91, 561, 697, 890 is 1

GCD(91, 561, 697, 890) = 1

GCD of 91,561,697,890 Calculator

GCDof 91,561,697,890 is 1

Given Input numbers are 91, 561, 697, 890

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 91, 561, 697, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 561, 697, 890 is 1.

Therefore, GCD of numbers 91, 561, 697, 890 is 1

Finding GCD of 91, 561, 697, 890 using Prime Factorization

Given Input Data is 91, 561, 697, 890

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 697 is 17 x 41

Prime Factorization of 890 is 2 x 5 x 89

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 91, 561, 697, 890 using LCM Formula

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(91, 561) = 51051

GCD(91, 561) = ( 91 x 561 ) / 51051

GCD(91, 561) = 51051 / 51051

GCD(91, 561) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 91, 561, 697, 890 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 91, 561, 697, 890

1. What is the GCD of 91, 561, 697, 890?

GCD of 91, 561, 697, 890 is 1


2. Where do I get the detailed procedure to find GCD of 91, 561, 697, 890?

You can find a detailed procedure to find GCD of 91, 561, 697, 890 on our page.


3. How to find GCD of 91, 561, 697, 890 on a calculator?

You can find the GCD of 91, 561, 697, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.