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 111, 965, 84, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 965, 84, 805 is 1
GCD(111, 965, 84, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 965, 84, 805 is 1
GCD(111, 965, 84, 805) = 1
Given Input numbers are 111, 965, 84, 805
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 111, 965, 84, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 965, 84, 805 is 1.
Therefore, GCD of numbers 111, 965, 84, 805 is 1
Given Input Data is 111, 965, 84, 805
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 965 is 5 x 193
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 805 is 5 x 7 x 23
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(111, 965) = 107115
GCD(111, 965) = ( 111 x 965 ) / 107115
GCD(111, 965) = 107115 / 107115
GCD(111, 965) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 111, 965, 84, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 965, 84, 805?
GCD of 111, 965, 84, 805 is 1
2. Where do I get the detailed procedure to find GCD of 111, 965, 84, 805?
You can find a detailed procedure to find GCD of 111, 965, 84, 805 on our page.
3. How to find GCD of 111, 965, 84, 805 on a calculator?
You can find the GCD of 111, 965, 84, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.