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, 110, 732, 941 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 110, 732, 941 is 1
GCD(11, 110, 732, 941) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 110, 732, 941 is 1
GCD(11, 110, 732, 941) = 1
Given Input numbers are 11, 110, 732, 941
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 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Greatest Common Divisior
We found the divisors of 11, 110, 732, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 110, 732, 941 is 1.
Therefore, GCD of numbers 11, 110, 732, 941 is 1
Given Input Data is 11, 110, 732, 941
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 941 is 941
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, 110) = 110
GCD(11, 110) = ( 11 x 110 ) / 110
GCD(11, 110) = 1210 / 110
GCD(11, 110) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 732) = 8052
GCD(11, 732) = ( 11 x 732 ) / 8052
GCD(11, 732) = 8052 / 8052
GCD(11, 732) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 941) = 941
GCD(1, 941) = ( 1 x 941 ) / 941
GCD(1, 941) = 941 / 941
GCD(1, 941) = 1
GCD of 11, 110, 732, 941 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 110, 732, 941?
GCD of 11, 110, 732, 941 is 1
2. Where do I get the detailed procedure to find GCD of 11, 110, 732, 941?
You can find a detailed procedure to find GCD of 11, 110, 732, 941 on our page.
3. How to find GCD of 11, 110, 732, 941 on a calculator?
You can find the GCD of 11, 110, 732, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.