Online GCD Calculator is useful to find the GCD of 873, 468, 279, 765 quickly. Get the easiest ways to solve the greatest common divisor of 873, 468, 279, 765 i.e 9 in different methods as follows.
Given Input numbers are 873, 468, 279, 765
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 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (873, 468, 279, 765) = 9.
Given numbers are 873, 468, 279, 765
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 279 are 3 x 3 x 31
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 32
Therefore, GCD of 873, 468, 279, 765 is 9.
Given numbers are 873, 468, 279, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 468) = 45396
GCD(873, 468) = ( 873 x 468 ) / 45396
= 873 / 468
= 873
Step2:
LCM(9, 279) = 279
GCD(9, 279) = ( 9 x 279 ) / 279
= 9 / 279
= 9
Step3:
LCM(9, 765) = 765
GCD(9, 765) = ( 9 x 765 ) / 765
= 9 / 765
= 9
So, Greatest Common Divisor of 873, 468, 279, 765 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 468, 279, 765
The greatest common divisor of numbers 873, 468, 279, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 468, 279, 765 is 9.
1. What is the GCD of 873, 468, 279, 765?
GCD of given numbers 873, 468, 279, 765 is 9
2. How to calculate the greatest common divisor of 873, 468, 279, 765?
We can find the highest common divisor of 873, 468, 279, 765 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, 468, 279, 765 i.e 9.
3. How can I use the GCD of 873, 468, 279, 765Calculator?
Out the numbers 873, 468, 279, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.