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 805, 745, 38, 795 i.e. 1 largest integer that divides all the numbers equally.
GCD of 805, 745, 38, 795 is 1
GCD(805, 745, 38, 795) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 805, 745, 38, 795 is 1
GCD(805, 745, 38, 795) = 1
Given Input numbers are 805, 745, 38, 795
To find the GCD of numbers using factoring list out all the divisors of each number
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 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Greatest Common Divisior
We found the divisors of 805, 745, 38, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 745, 38, 795 is 1.
Therefore, GCD of numbers 805, 745, 38, 795 is 1
Given Input Data is 805, 745, 38, 795
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 745 is 5 x 149
Prime Factorization of 38 is 2 x 19
Prime Factorization of 795 is 3 x 5 x 53
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(805, 745) = 119945
GCD(805, 745) = ( 805 x 745 ) / 119945
GCD(805, 745) = 599725 / 119945
GCD(805, 745) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 38) = 190
GCD(5, 38) = ( 5 x 38 ) / 190
GCD(5, 38) = 190 / 190
GCD(5, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 795) = 795
GCD(1, 795) = ( 1 x 795 ) / 795
GCD(1, 795) = 795 / 795
GCD(1, 795) = 1
GCD of 805, 745, 38, 795 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 805, 745, 38, 795?
GCD of 805, 745, 38, 795 is 1
2. Where do I get the detailed procedure to find GCD of 805, 745, 38, 795?
You can find a detailed procedure to find GCD of 805, 745, 38, 795 on our page.
3. How to find GCD of 805, 745, 38, 795 on a calculator?
You can find the GCD of 805, 745, 38, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.