Online GCD Calculator is useful to find the GCD of 723, 351, 207, 312 quickly. Get the easiest ways to solve the greatest common divisor of 723, 351, 207, 312 i.e 3 in different methods as follows.
Given Input numbers are 723, 351, 207, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
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
GCD of numbers is the greatest common divisor
So, the GCD (723, 351, 207, 312) = 3.
Given numbers are 723, 351, 207, 312
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 207 are 3 x 3 x 23
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 723, 351, 207, 312 is 3.
Given numbers are 723, 351, 207, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 351) = 84591
GCD(723, 351) = ( 723 x 351 ) / 84591
= 723 / 351
= 723
Step2:
LCM(3, 207) = 207
GCD(3, 207) = ( 3 x 207 ) / 207
= 3 / 207
= 3
Step3:
LCM(3, 312) = 312
GCD(3, 312) = ( 3 x 312 ) / 312
= 3 / 312
= 3
So, Greatest Common Divisor of 723, 351, 207, 312 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 351, 207, 312
The greatest common divisor of numbers 723, 351, 207, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 351, 207, 312 is 3.
1. What is the GCD of 723, 351, 207, 312?
GCD of given numbers 723, 351, 207, 312 is 3
2. How to calculate the greatest common divisor of 723, 351, 207, 312?
We can find the highest common divisor of 723, 351, 207, 312 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 723, 351, 207, 312 i.e 3.
3. How can I use the GCD of 723, 351, 207, 312Calculator?
Out the numbers 723, 351, 207, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.