GCD of 378, 864, 305 Calculator
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 378, 864, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 864, 305 is 1
GCD(378, 864, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 864, 305 is 1
GCD(378, 864, 305) = 1
GCDof 378,864,305 is 1
Given Input numbers are 378, 864, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 378, 864, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 864, 305 is 1.
Therefore, GCD of numbers 378, 864, 305 is 1
Given Input Data is 378, 864, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 305 is 5 x 61
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 378, 864, 305 using LCM Formula
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(378, 864) = 6048
GCD(378, 864) = ( 378 x 864 ) / 6048
GCD(378, 864) = 326592 / 6048
GCD(378, 864) = 54
Step2:
Here we consider the GCD from the above i.e. 54 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(54, 305) = 16470
GCD(54, 305) = ( 54 x 305 ) / 16470
GCD(54, 305) = 16470 / 16470
GCD(54, 305) = 1
GCD of 378, 864, 305 is 1
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FAQs on GCD of numbers 378, 864, 305
1. What is the GCD of 378, 864, 305?
GCD of 378, 864, 305 is 1
2. Where do I get the detailed procedure to find GCD of 378, 864, 305?
You can find a detailed procedure to find GCD of 378, 864, 305 on our page.
3. How to find GCD of 378, 864, 305 on a calculator?
You can find the GCD of 378, 864, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.