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, 602, 802, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 602, 802, 339 is 1
GCD(825, 602, 802, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 602, 802, 339 is 1
GCD(825, 602, 802, 339) = 1
Given Input numbers are 825, 602, 802, 339
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 825, 602, 802, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 602, 802, 339 is 1.
Therefore, GCD of numbers 825, 602, 802, 339 is 1
Given Input Data is 825, 602, 802, 339
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 602 is 2 x 7 x 43
Prime Factorization of 802 is 2 x 401
Prime Factorization of 339 is 3 x 113
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, 602) = 496650
GCD(825, 602) = ( 825 x 602 ) / 496650
GCD(825, 602) = 496650 / 496650
GCD(825, 602) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 825, 602, 802, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 602, 802, 339?
GCD of 825, 602, 802, 339 is 1
2. Where do I get the detailed procedure to find GCD of 825, 602, 802, 339?
You can find a detailed procedure to find GCD of 825, 602, 802, 339 on our page.
3. How to find GCD of 825, 602, 802, 339 on a calculator?
You can find the GCD of 825, 602, 802, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.