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 845, 293, 864, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 293, 864, 380 is 1
GCD(845, 293, 864, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 293, 864, 380 is 1
GCD(845, 293, 864, 380) = 1
Given Input numbers are 845, 293, 864, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 845, 293, 864, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 293, 864, 380 is 1.
Therefore, GCD of numbers 845, 293, 864, 380 is 1
Given Input Data is 845, 293, 864, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 293 is 293
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(845, 293) = 247585
GCD(845, 293) = ( 845 x 293 ) / 247585
GCD(845, 293) = 247585 / 247585
GCD(845, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 845, 293, 864, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 293, 864, 380?
GCD of 845, 293, 864, 380 is 1
2. Where do I get the detailed procedure to find GCD of 845, 293, 864, 380?
You can find a detailed procedure to find GCD of 845, 293, 864, 380 on our page.
3. How to find GCD of 845, 293, 864, 380 on a calculator?
You can find the GCD of 845, 293, 864, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.