Online GCD Calculator is useful to find the GCD of 873, 522, 312, 825 quickly. Get the easiest ways to solve the greatest common divisor of 873, 522, 312, 825 i.e 3 in different methods as follows.
Given Input numbers are 873, 522, 312, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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
GCD of numbers is the greatest common divisor
So, the GCD (873, 522, 312, 825) = 3.
Given numbers are 873, 522, 312, 825
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 873, 522, 312, 825 is 3.
Given numbers are 873, 522, 312, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 522) = 50634
GCD(873, 522) = ( 873 x 522 ) / 50634
= 873 / 522
= 873
Step2:
LCM(9, 312) = 936
GCD(9, 312) = ( 9 x 312 ) / 936
= 9 / 312
= 9
Step3:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
So, Greatest Common Divisor of 873, 522, 312, 825 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 522, 312, 825
The greatest common divisor of numbers 873, 522, 312, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 522, 312, 825 is 3.
1. What is the GCD of 873, 522, 312, 825?
GCD of given numbers 873, 522, 312, 825 is 3
2. How to calculate the greatest common divisor of 873, 522, 312, 825?
We can find the highest common divisor of 873, 522, 312, 825 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 873, 522, 312, 825 i.e 3.
3. How can I use the GCD of 873, 522, 312, 825Calculator?
Out the numbers 873, 522, 312, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.