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 110, 182, 91 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 182, 91 is 1
GCD(110, 182, 91) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 182, 91 is 1
GCD(110, 182, 91) = 1
Given Input numbers are 110, 182, 91
To find the GCD of numbers using factoring list out all the divisors of each number
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 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Greatest Common Divisior
We found the divisors of 110, 182, 91 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 182, 91 is 1.
Therefore, GCD of numbers 110, 182, 91 is 1
Given Input Data is 110, 182, 91
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 91 is 7 x 13
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(110, 182) = 10010
GCD(110, 182) = ( 110 x 182 ) / 10010
GCD(110, 182) = 20020 / 10010
GCD(110, 182) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
GCD of 110, 182, 91 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 182, 91?
GCD of 110, 182, 91 is 1
2. Where do I get the detailed procedure to find GCD of 110, 182, 91?
You can find a detailed procedure to find GCD of 110, 182, 91 on our page.
3. How to find GCD of 110, 182, 91 on a calculator?
You can find the GCD of 110, 182, 91 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.