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 745, 444, 124, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 444, 124, 108 is 1
GCD(745, 444, 124, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 444, 124, 108 is 1
GCD(745, 444, 124, 108) = 1
Given Input numbers are 745, 444, 124, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Greatest Common Divisior
We found the divisors of 745, 444, 124, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 444, 124, 108 is 1.
Therefore, GCD of numbers 745, 444, 124, 108 is 1
Given Input Data is 745, 444, 124, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(745, 444) = 330780
GCD(745, 444) = ( 745 x 444 ) / 330780
GCD(745, 444) = 330780 / 330780
GCD(745, 444) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 745, 444, 124, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 444, 124, 108?
GCD of 745, 444, 124, 108 is 1
2. Where do I get the detailed procedure to find GCD of 745, 444, 124, 108?
You can find a detailed procedure to find GCD of 745, 444, 124, 108 on our page.
3. How to find GCD of 745, 444, 124, 108 on a calculator?
You can find the GCD of 745, 444, 124, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.