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 11, 827, 611, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 827, 611, 746 is 1
GCD(11, 827, 611, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 827, 611, 746 is 1
GCD(11, 827, 611, 746) = 1
Given Input numbers are 11, 827, 611, 746
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 11, 827, 611, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 827, 611, 746 is 1.
Therefore, GCD of numbers 11, 827, 611, 746 is 1
Given Input Data is 11, 827, 611, 746
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 827 is 827
Prime Factorization of 611 is 13 x 47
Prime Factorization of 746 is 2 x 373
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(11, 827) = 9097
GCD(11, 827) = ( 11 x 827 ) / 9097
GCD(11, 827) = 9097 / 9097
GCD(11, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 611) = 611
GCD(1, 611) = ( 1 x 611 ) / 611
GCD(1, 611) = 611 / 611
GCD(1, 611) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 11, 827, 611, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 827, 611, 746?
GCD of 11, 827, 611, 746 is 1
2. Where do I get the detailed procedure to find GCD of 11, 827, 611, 746?
You can find a detailed procedure to find GCD of 11, 827, 611, 746 on our page.
3. How to find GCD of 11, 827, 611, 746 on a calculator?
You can find the GCD of 11, 827, 611, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.