GCD of 561, 671, 741, 891 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 561, 671, 741, 891 i.e. 1 largest integer that divides all the numbers equally.

GCD of 561, 671, 741, 891 is 1

GCD(561, 671, 741, 891) = 1

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

GCD of

GCD of numbers 561, 671, 741, 891 is 1

GCD(561, 671, 741, 891) = 1

GCD of 561,671,741,891 Calculator

GCDof 561,671,741,891 is 1

Given Input numbers are 561, 671, 741, 891

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

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 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 561, 671, 741, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 671, 741, 891 is 1.

Therefore, GCD of numbers 561, 671, 741, 891 is 1

Finding GCD of 561, 671, 741, 891 using Prime Factorization

Given Input Data is 561, 671, 741, 891

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 671 is 11 x 61

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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

Finding GCD of 561, 671, 741, 891 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(561, 671) = 34221

GCD(561, 671) = ( 561 x 671 ) / 34221

GCD(561, 671) = 376431 / 34221

GCD(561, 671) = 11


Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 741

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

LCM(11, 741) = 8151

GCD(11, 741) = ( 11 x 741 ) / 8151

GCD(11, 741) = 8151 / 8151

GCD(11, 741) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 561, 671, 741, 891 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 561, 671, 741, 891

1. What is the GCD of 561, 671, 741, 891?

GCD of 561, 671, 741, 891 is 1


2. Where do I get the detailed procedure to find GCD of 561, 671, 741, 891?

You can find a detailed procedure to find GCD of 561, 671, 741, 891 on our page.


3. How to find GCD of 561, 671, 741, 891 on a calculator?

You can find the GCD of 561, 671, 741, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.