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 384, 979, 36, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 979, 36, 745 is 1
GCD(384, 979, 36, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 979, 36, 745 is 1
GCD(384, 979, 36, 745) = 1
Given Input numbers are 384, 979, 36, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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 384, 979, 36, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 979, 36, 745 is 1.
Therefore, GCD of numbers 384, 979, 36, 745 is 1
Given Input Data is 384, 979, 36, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 979 is 11 x 89
Prime Factorization of 36 is 2 x 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(384, 979) = 375936
GCD(384, 979) = ( 384 x 979 ) / 375936
GCD(384, 979) = 375936 / 375936
GCD(384, 979) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 384, 979, 36, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 979, 36, 745?
GCD of 384, 979, 36, 745 is 1
2. Where do I get the detailed procedure to find GCD of 384, 979, 36, 745?
You can find a detailed procedure to find GCD of 384, 979, 36, 745 on our page.
3. How to find GCD of 384, 979, 36, 745 on a calculator?
You can find the GCD of 384, 979, 36, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.