Online GCD Calculator is useful to find the GCD of 882, 825, 915, 231 quickly. Get the easiest ways to solve the greatest common divisor of 882, 825, 915, 231 i.e 3 in different methods as follows.
Given Input numbers are 882, 825, 915, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (882, 825, 915, 231) = 3.
Given numbers are 882, 825, 915, 231
The list of prime factors of all numbers are
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 915 are 3 x 5 x 61
Prime factors of 231 are 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 882, 825, 915, 231 is 3.
Given numbers are 882, 825, 915, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 825) = 242550
GCD(882, 825) = ( 882 x 825 ) / 242550
= 882 / 825
= 882
Step2:
LCM(3, 915) = 915
GCD(3, 915) = ( 3 x 915 ) / 915
= 3 / 915
= 3
Step3:
LCM(3, 231) = 231
GCD(3, 231) = ( 3 x 231 ) / 231
= 3 / 231
= 3
So, Greatest Common Divisor of 882, 825, 915, 231 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 825, 915, 231
The greatest common divisor of numbers 882, 825, 915, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 825, 915, 231 is 3.
1. What is the GCD of 882, 825, 915, 231?
GCD of given numbers 882, 825, 915, 231 is 3
2. How to calculate the greatest common divisor of 882, 825, 915, 231?
We can find the highest common divisor of 882, 825, 915, 231 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 882, 825, 915, 231 i.e 3.
3. How can I use the GCD of 882, 825, 915, 231Calculator?
Out the numbers 882, 825, 915, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.