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, 936, 623, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 936, 623, 145 is 1
GCD(110, 936, 623, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 936, 623, 145 is 1
GCD(110, 936, 623, 145) = 1
Given Input numbers are 110, 936, 623, 145
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 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 110, 936, 623, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 936, 623, 145 is 1.
Therefore, GCD of numbers 110, 936, 623, 145 is 1
Given Input Data is 110, 936, 623, 145
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 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 623 is 7 x 89
Prime Factorization of 145 is 5 x 29
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, 936) = 51480
GCD(110, 936) = ( 110 x 936 ) / 51480
GCD(110, 936) = 102960 / 51480
GCD(110, 936) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 623) = 1246
GCD(2, 623) = ( 2 x 623 ) / 1246
GCD(2, 623) = 1246 / 1246
GCD(2, 623) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 110, 936, 623, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 936, 623, 145?
GCD of 110, 936, 623, 145 is 1
2. Where do I get the detailed procedure to find GCD of 110, 936, 623, 145?
You can find a detailed procedure to find GCD of 110, 936, 623, 145 on our page.
3. How to find GCD of 110, 936, 623, 145 on a calculator?
You can find the GCD of 110, 936, 623, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.