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 numbers 561, 671, 741, 891 is 1
GCD(561, 671, 741, 891) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.