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 33, 130, 249, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 130, 249, 827 is 1
GCD(33, 130, 249, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 130, 249, 827 is 1
GCD(33, 130, 249, 827) = 1
Given Input numbers are 33, 130, 249, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 33, 130, 249, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 130, 249, 827 is 1.
Therefore, GCD of numbers 33, 130, 249, 827 is 1
Given Input Data is 33, 130, 249, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 249 is 3 x 83
Prime Factorization of 827 is 827
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(33, 130) = 4290
GCD(33, 130) = ( 33 x 130 ) / 4290
GCD(33, 130) = 4290 / 4290
GCD(33, 130) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 1
GCD of 33, 130, 249, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 130, 249, 827?
GCD of 33, 130, 249, 827 is 1
2. Where do I get the detailed procedure to find GCD of 33, 130, 249, 827?
You can find a detailed procedure to find GCD of 33, 130, 249, 827 on our page.
3. How to find GCD of 33, 130, 249, 827 on a calculator?
You can find the GCD of 33, 130, 249, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.