GCD of 723, 396, 675 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 723, 396, 675 quickly. Get the easiest ways to solve the greatest common divisor of 723, 396, 675 i.e 3 in different methods as follows.
Given Input numbers are 723, 396, 675
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 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (723, 396, 675) = 3.
Given numbers are 723, 396, 675
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 723, 396, 675 is 3.
Steps to Calculate GCD of 723, 396, 675 using LCM Formula
Given numbers are 723, 396, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 396) = 95436
GCD(723, 396) = ( 723 x 396 ) / 95436
= 723 / 396
= 723
Step2:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 723, 396, 675 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 723, 396, 675
Given numbers are 723, 396, 675
The greatest common divisor of numbers 723, 396, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 396, 675 is 3.
FAQs on GCD of 723, 396, 675 Calculator
1. What is the GCD of 723, 396, 675?
GCD of given numbers 723, 396, 675 is 3
2. How to calculate the greatest common divisor of 723, 396, 675?
We can find the highest common divisor of 723, 396, 675 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, 396, 675 i.e 3.
3. How can I use the GCD of 723, 396, 675Calculator?
Out the numbers 723, 396, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.