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 381, 393, 86, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 393, 86, 945 is 1
GCD(381, 393, 86, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 393, 86, 945 is 1
GCD(381, 393, 86, 945) = 1
Given Input numbers are 381, 393, 86, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 381, 393, 86, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 393, 86, 945 is 1.
Therefore, GCD of numbers 381, 393, 86, 945 is 1
Given Input Data is 381, 393, 86, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 393 is 3 x 131
Prime Factorization of 86 is 2 x 43
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
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(381, 393) = 49911
GCD(381, 393) = ( 381 x 393 ) / 49911
GCD(381, 393) = 149733 / 49911
GCD(381, 393) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 86) = 258
GCD(3, 86) = ( 3 x 86 ) / 258
GCD(3, 86) = 258 / 258
GCD(3, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 381, 393, 86, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 393, 86, 945?
GCD of 381, 393, 86, 945 is 1
2. Where do I get the detailed procedure to find GCD of 381, 393, 86, 945?
You can find a detailed procedure to find GCD of 381, 393, 86, 945 on our page.
3. How to find GCD of 381, 393, 86, 945 on a calculator?
You can find the GCD of 381, 393, 86, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.