Online GCD Calculator is useful to find the GCD of 291, 312, 999, 678 quickly. Get the easiest ways to solve the greatest common divisor of 291, 312, 999, 678 i.e 3 in different methods as follows.
Given Input numbers are 291, 312, 999, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
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 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (291, 312, 999, 678) = 3.
Given numbers are 291, 312, 999, 678
The list of prime factors of all numbers are
Prime factors of 291 are 3 x 97
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 31
Therefore, GCD of 291, 312, 999, 678 is 3.
Given numbers are 291, 312, 999, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(291, 312) = 30264
GCD(291, 312) = ( 291 x 312 ) / 30264
= 291 / 312
= 291
Step2:
LCM(3, 999) = 999
GCD(3, 999) = ( 3 x 999 ) / 999
= 3 / 999
= 3
Step3:
LCM(3, 678) = 678
GCD(3, 678) = ( 3 x 678 ) / 678
= 3 / 678
= 3
So, Greatest Common Divisor of 291, 312, 999, 678 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 291, 312, 999, 678
The greatest common divisor of numbers 291, 312, 999, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 312, 999, 678 is 3.
1. What is the GCD of 291, 312, 999, 678?
GCD of given numbers 291, 312, 999, 678 is 3
2. How to calculate the greatest common divisor of 291, 312, 999, 678?
We can find the highest common divisor of 291, 312, 999, 678 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 291, 312, 999, 678 i.e 3.
3. How can I use the GCD of 291, 312, 999, 678Calculator?
Out the numbers 291, 312, 999, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.