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 795, 983, 221, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 983, 221, 987 is 1
GCD(795, 983, 221, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 983, 221, 987 is 1
GCD(795, 983, 221, 987) = 1
Given Input numbers are 795, 983, 221, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 795, 983, 221, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 983, 221, 987 is 1.
Therefore, GCD of numbers 795, 983, 221, 987 is 1
Given Input Data is 795, 983, 221, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 983 is 983
Prime Factorization of 221 is 13 x 17
Prime Factorization of 987 is 3 x 7 x 47
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(795, 983) = 781485
GCD(795, 983) = ( 795 x 983 ) / 781485
GCD(795, 983) = 781485 / 781485
GCD(795, 983) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 795, 983, 221, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 983, 221, 987?
GCD of 795, 983, 221, 987 is 1
2. Where do I get the detailed procedure to find GCD of 795, 983, 221, 987?
You can find a detailed procedure to find GCD of 795, 983, 221, 987 on our page.
3. How to find GCD of 795, 983, 221, 987 on a calculator?
You can find the GCD of 795, 983, 221, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.