Online GCD Calculator is useful to find the GCD of 267, 456, 723 quickly. Get the easiest ways to solve the greatest common divisor of 267, 456, 723 i.e 3 in different methods as follows.
Given Input numbers are 267, 456, 723
In the factoring method, we have to find the divisors of all numbers
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
GCD of numbers is the greatest common divisor
So, the GCD (267, 456, 723) = 3.
Given numbers are 267, 456, 723
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 723 are 3 x 241
The highest common occurrence is 31
Therefore, GCD of 267, 456, 723 is 3.
Given numbers are 267, 456, 723
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 456) = 40584
GCD(267, 456) = ( 267 x 456 ) / 40584
= 267 / 456
= 267
Step2:
LCM(3, 723) = 723
GCD(3, 723) = ( 3 x 723 ) / 723
= 3 / 723
= 3
So, Greatest Common Divisor of 267, 456, 723 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 456, 723
The greatest common divisor of numbers 267, 456, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 456, 723 is 3.
1. What is the GCD of 267, 456, 723?
GCD of given numbers 267, 456, 723 is 3
2. How to calculate the greatest common divisor of 267, 456, 723?
We can find the highest common divisor of 267, 456, 723 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 267, 456, 723 i.e 3.
3. How can I use the GCD of 267, 456, 723Calculator?
Out the numbers 267, 456, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.