Online GCD Calculator is useful to find the GCD of 873, 231, 15, 336 quickly. Get the easiest ways to solve the greatest common divisor of 873, 231, 15, 336 i.e 3 in different methods as follows.
Given Input numbers are 873, 231, 15, 336
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 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 15 :
The positive integer divisors of 15 that completely divides 15 are.
1, 3, 5, 15
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (873, 231, 15, 336) = 3.
Given numbers are 873, 231, 15, 336
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 231 are 3 x 7 x 11
Prime factors of 15 are 3 x 5
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 873, 231, 15, 336 is 3.
Given numbers are 873, 231, 15, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 231) = 67221
GCD(873, 231) = ( 873 x 231 ) / 67221
= 873 / 231
= 873
Step2:
LCM(3, 15) = 15
GCD(3, 15) = ( 3 x 15 ) / 15
= 3 / 15
= 3
Step3:
LCM(3, 336) = 336
GCD(3, 336) = ( 3 x 336 ) / 336
= 3 / 336
= 3
So, Greatest Common Divisor of 873, 231, 15, 336 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 231, 15, 336
The greatest common divisor of numbers 873, 231, 15, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 231, 15, 336 is 3.
1. What is the GCD of 873, 231, 15, 336?
GCD of given numbers 873, 231, 15, 336 is 3
2. How to calculate the greatest common divisor of 873, 231, 15, 336?
We can find the highest common divisor of 873, 231, 15, 336 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, 231, 15, 336 i.e 3.
3. How can I use the GCD of 873, 231, 15, 336Calculator?
Out the numbers 873, 231, 15, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.