Online GCD Calculator is useful to find the GCD of 726, 123, 849, 363 quickly. Get the easiest ways to solve the greatest common divisor of 726, 123, 849, 363 i.e 3 in different methods as follows.
Given Input numbers are 726, 123, 849, 363
In the factoring method, we have to find the divisors of all numbers
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 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (726, 123, 849, 363) = 3.
Given numbers are 726, 123, 849, 363
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 123 are 3 x 41
Prime factors of 849 are 3 x 283
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 726, 123, 849, 363 is 3.
Given numbers are 726, 123, 849, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 123) = 29766
GCD(726, 123) = ( 726 x 123 ) / 29766
= 726 / 123
= 726
Step2:
LCM(3, 849) = 849
GCD(3, 849) = ( 3 x 849 ) / 849
= 3 / 849
= 3
Step3:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 726, 123, 849, 363 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 123, 849, 363
The greatest common divisor of numbers 726, 123, 849, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 123, 849, 363 is 3.
1. What is the GCD of 726, 123, 849, 363?
GCD of given numbers 726, 123, 849, 363 is 3
2. How to calculate the greatest common divisor of 726, 123, 849, 363?
We can find the highest common divisor of 726, 123, 849, 363 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 726, 123, 849, 363 i.e 3.
3. How can I use the GCD of 726, 123, 849, 363Calculator?
Out the numbers 726, 123, 849, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.