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, 368, 87, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 368, 87, 275 is 1
GCD(825, 368, 87, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 368, 87, 275 is 1
GCD(825, 368, 87, 275) = 1
Given Input numbers are 825, 368, 87, 275
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 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 825, 368, 87, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 368, 87, 275 is 1.
Therefore, GCD of numbers 825, 368, 87, 275 is 1
Given Input Data is 825, 368, 87, 275
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 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 87 is 3 x 29
Prime Factorization of 275 is 5 x 5 x 11
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, 368) = 303600
GCD(825, 368) = ( 825 x 368 ) / 303600
GCD(825, 368) = 303600 / 303600
GCD(825, 368) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 825, 368, 87, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 368, 87, 275?
GCD of 825, 368, 87, 275 is 1
2. Where do I get the detailed procedure to find GCD of 825, 368, 87, 275?
You can find a detailed procedure to find GCD of 825, 368, 87, 275 on our page.
3. How to find GCD of 825, 368, 87, 275 on a calculator?
You can find the GCD of 825, 368, 87, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.