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 108, 830, 145, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 830, 145, 792 is 1
GCD(108, 830, 145, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 830, 145, 792 is 1
GCD(108, 830, 145, 792) = 1
Given Input numbers are 108, 830, 145, 792
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Greatest Common Divisior
We found the divisors of 108, 830, 145, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 830, 145, 792 is 1.
Therefore, GCD of numbers 108, 830, 145, 792 is 1
Given Input Data is 108, 830, 145, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 145 is 5 x 29
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 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(108, 830) = 44820
GCD(108, 830) = ( 108 x 830 ) / 44820
GCD(108, 830) = 89640 / 44820
GCD(108, 830) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
GCD(2, 145) = 290 / 290
GCD(2, 145) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
GCD of 108, 830, 145, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 830, 145, 792?
GCD of 108, 830, 145, 792 is 1
2. Where do I get the detailed procedure to find GCD of 108, 830, 145, 792?
You can find a detailed procedure to find GCD of 108, 830, 145, 792 on our page.
3. How to find GCD of 108, 830, 145, 792 on a calculator?
You can find the GCD of 108, 830, 145, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.