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 320, 805, 371, 927 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 805, 371, 927 is 1
GCD(320, 805, 371, 927) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 805, 371, 927 is 1
GCD(320, 805, 371, 927) = 1
Given Input numbers are 320, 805, 371, 927
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Greatest Common Divisior
We found the divisors of 320, 805, 371, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 805, 371, 927 is 1.
Therefore, GCD of numbers 320, 805, 371, 927 is 1
Given Input Data is 320, 805, 371, 927
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 371 is 7 x 53
Prime Factorization of 927 is 3 x 3 x 103
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(320, 805) = 51520
GCD(320, 805) = ( 320 x 805 ) / 51520
GCD(320, 805) = 257600 / 51520
GCD(320, 805) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 371) = 1855
GCD(5, 371) = ( 5 x 371 ) / 1855
GCD(5, 371) = 1855 / 1855
GCD(5, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 927
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 927) = 927
GCD(1, 927) = ( 1 x 927 ) / 927
GCD(1, 927) = 927 / 927
GCD(1, 927) = 1
GCD of 320, 805, 371, 927 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 805, 371, 927?
GCD of 320, 805, 371, 927 is 1
2. Where do I get the detailed procedure to find GCD of 320, 805, 371, 927?
You can find a detailed procedure to find GCD of 320, 805, 371, 927 on our page.
3. How to find GCD of 320, 805, 371, 927 on a calculator?
You can find the GCD of 320, 805, 371, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.