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 numbers 91, 561, 697, 890 is 1
GCD(91, 561, 697, 890) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.