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 119, 248, 99, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 248, 99, 110 is 1
GCD(119, 248, 99, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 248, 99, 110 is 1
GCD(119, 248, 99, 110) = 1
Given Input numbers are 119, 248, 99, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 119, 248, 99, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 248, 99, 110 is 1.
Therefore, GCD of numbers 119, 248, 99, 110 is 1
Given Input Data is 119, 248, 99, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 110 is 2 x 5 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(119, 248) = 29512
GCD(119, 248) = ( 119 x 248 ) / 29512
GCD(119, 248) = 29512 / 29512
GCD(119, 248) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 119, 248, 99, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 248, 99, 110?
GCD of 119, 248, 99, 110 is 1
2. Where do I get the detailed procedure to find GCD of 119, 248, 99, 110?
You can find a detailed procedure to find GCD of 119, 248, 99, 110 on our page.
3. How to find GCD of 119, 248, 99, 110 on a calculator?
You can find the GCD of 119, 248, 99, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.