Online GCD Calculator is useful to find the GCD of 723, 726, 252, 477 quickly. Get the easiest ways to solve the greatest common divisor of 723, 726, 252, 477 i.e 3 in different methods as follows.
Given Input numbers are 723, 726, 252, 477
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 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 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (723, 726, 252, 477) = 3.
Given numbers are 723, 726, 252, 477
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 477 are 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 723, 726, 252, 477 is 3.
Given numbers are 723, 726, 252, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 726) = 174966
GCD(723, 726) = ( 723 x 726 ) / 174966
= 723 / 726
= 723
Step2:
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
= 3 / 252
= 3
Step3:
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
= 3 / 477
= 3
So, Greatest Common Divisor of 723, 726, 252, 477 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 726, 252, 477
The greatest common divisor of numbers 723, 726, 252, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 726, 252, 477 is 3.
1. What is the GCD of 723, 726, 252, 477?
GCD of given numbers 723, 726, 252, 477 is 3
2. How to calculate the greatest common divisor of 723, 726, 252, 477?
We can find the highest common divisor of 723, 726, 252, 477 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, 726, 252, 477 i.e 3.
3. How can I use the GCD of 723, 726, 252, 477Calculator?
Out the numbers 723, 726, 252, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.