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, 168, 18, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 168, 18, 745 is 1
GCD(110, 168, 18, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 168, 18, 745 is 1
GCD(110, 168, 18, 745) = 1
Given Input numbers are 110, 168, 18, 745
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 110, 168, 18, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 168, 18, 745 is 1.
Therefore, GCD of numbers 110, 168, 18, 745 is 1
Given Input Data is 110, 168, 18, 745
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 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 745 is 5 x 149
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, 168) = 9240
GCD(110, 168) = ( 110 x 168 ) / 9240
GCD(110, 168) = 18480 / 9240
GCD(110, 168) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 745) = 1490
GCD(2, 745) = ( 2 x 745 ) / 1490
GCD(2, 745) = 1490 / 1490
GCD(2, 745) = 1
GCD of 110, 168, 18, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 168, 18, 745?
GCD of 110, 168, 18, 745 is 1
2. Where do I get the detailed procedure to find GCD of 110, 168, 18, 745?
You can find a detailed procedure to find GCD of 110, 168, 18, 745 on our page.
3. How to find GCD of 110, 168, 18, 745 on a calculator?
You can find the GCD of 110, 168, 18, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.