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 827, 391, 99, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 827, 391, 99, 141 is 1
GCD(827, 391, 99, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 827, 391, 99, 141 is 1
GCD(827, 391, 99, 141) = 1
Given Input numbers are 827, 391, 99, 141
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Greatest Common Divisior
We found the divisors of 827, 391, 99, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 391, 99, 141 is 1.
Therefore, GCD of numbers 827, 391, 99, 141 is 1
Given Input Data is 827, 391, 99, 141
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 827 is 827
Prime Factorization of 391 is 17 x 23
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 141 is 3 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(827, 391) = 323357
GCD(827, 391) = ( 827 x 391 ) / 323357
GCD(827, 391) = 323357 / 323357
GCD(827, 391) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
GCD of 827, 391, 99, 141 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 827, 391, 99, 141?
GCD of 827, 391, 99, 141 is 1
2. Where do I get the detailed procedure to find GCD of 827, 391, 99, 141?
You can find a detailed procedure to find GCD of 827, 391, 99, 141 on our page.
3. How to find GCD of 827, 391, 99, 141 on a calculator?
You can find the GCD of 827, 391, 99, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.