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 825, 206, 221, 248 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 206, 221, 248 is 1
GCD(825, 206, 221, 248) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 206, 221, 248 is 1
GCD(825, 206, 221, 248) = 1
Given Input numbers are 825, 206, 221, 248
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 825, 206, 221, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 206, 221, 248 is 1.
Therefore, GCD of numbers 825, 206, 221, 248 is 1
Given Input Data is 825, 206, 221, 248
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 206 is 2 x 103
Prime Factorization of 221 is 13 x 17
Prime Factorization of 248 is 2 x 2 x 2 x 31
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(825, 206) = 169950
GCD(825, 206) = ( 825 x 206 ) / 169950
GCD(825, 206) = 169950 / 169950
GCD(825, 206) = 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 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
GCD(1, 248) = 248 / 248
GCD(1, 248) = 1
GCD of 825, 206, 221, 248 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 206, 221, 248?
GCD of 825, 206, 221, 248 is 1
2. Where do I get the detailed procedure to find GCD of 825, 206, 221, 248?
You can find a detailed procedure to find GCD of 825, 206, 221, 248 on our page.
3. How to find GCD of 825, 206, 221, 248 on a calculator?
You can find the GCD of 825, 206, 221, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.