Online GCD Calculator is useful to find the GCD of 726, 484, 912, 960 quickly. Get the easiest ways to solve the greatest common divisor of 726, 484, 912, 960 i.e 2 in different methods as follows.
Given Input numbers are 726, 484, 912, 960
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (726, 484, 912, 960) = 2.
Given numbers are 726, 484, 912, 960
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 726, 484, 912, 960 is 2.
Given numbers are 726, 484, 912, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 484) = 1452
GCD(726, 484) = ( 726 x 484 ) / 1452
= 726 / 484
= 726
Step2:
LCM(242, 912) = 110352
GCD(242, 912) = ( 242 x 912 ) / 110352
= 242 / 912
= 242
Step3:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
So, Greatest Common Divisor of 726, 484, 912, 960 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 484, 912, 960
The greatest common divisor of numbers 726, 484, 912, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 484, 912, 960 is 2.
1. What is the GCD of 726, 484, 912, 960?
GCD of given numbers 726, 484, 912, 960 is 2
2. How to calculate the greatest common divisor of 726, 484, 912, 960?
We can find the highest common divisor of 726, 484, 912, 960 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, 484, 912, 960 i.e 2.
3. How can I use the GCD of 726, 484, 912, 960Calculator?
Out the numbers 726, 484, 912, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.