Online GCD Calculator is useful to find the GCD of 336, 873, 726, 291 quickly. Get the easiest ways to solve the greatest common divisor of 336, 873, 726, 291 i.e 3 in different methods as follows.
Given Input numbers are 336, 873, 726, 291
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
GCD of numbers is the greatest common divisor
So, the GCD (336, 873, 726, 291) = 3.
Given numbers are 336, 873, 726, 291
The list of prime factors of all numbers are
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 873 are 3 x 3 x 97
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 291 are 3 x 97
The highest common occurrence is 31
Therefore, GCD of 336, 873, 726, 291 is 3.
Given numbers are 336, 873, 726, 291
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 873) = 97776
GCD(336, 873) = ( 336 x 873 ) / 97776
= 336 / 873
= 336
Step2:
LCM(3, 726) = 726
GCD(3, 726) = ( 3 x 726 ) / 726
= 3 / 726
= 3
Step3:
LCM(3, 291) = 291
GCD(3, 291) = ( 3 x 291 ) / 291
= 3 / 291
= 3
So, Greatest Common Divisor of 336, 873, 726, 291 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 873, 726, 291
The greatest common divisor of numbers 336, 873, 726, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 873, 726, 291 is 3.
1. What is the GCD of 336, 873, 726, 291?
GCD of given numbers 336, 873, 726, 291 is 3
2. How to calculate the greatest common divisor of 336, 873, 726, 291?
We can find the highest common divisor of 336, 873, 726, 291 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 336, 873, 726, 291 i.e 3.
3. How can I use the GCD of 336, 873, 726, 291Calculator?
Out the numbers 336, 873, 726, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.