Online GCD Calculator is useful to find the GCD of 728, 742, 902, 960 quickly. Get the easiest ways to solve the greatest common divisor of 728, 742, 902, 960 i.e 2 in different methods as follows.
Given Input numbers are 728, 742, 902, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
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 (728, 742, 902, 960) = 2.
Given numbers are 728, 742, 902, 960
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 742 are 2 x 7 x 53
Prime factors of 902 are 2 x 11 x 41
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 728, 742, 902, 960 is 2.
Given numbers are 728, 742, 902, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 742) = 38584
GCD(728, 742) = ( 728 x 742 ) / 38584
= 728 / 742
= 728
Step2:
LCM(14, 902) = 6314
GCD(14, 902) = ( 14 x 902 ) / 6314
= 14 / 902
= 14
Step3:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
So, Greatest Common Divisor of 728, 742, 902, 960 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 742, 902, 960
The greatest common divisor of numbers 728, 742, 902, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 742, 902, 960 is 2.
1. What is the GCD of 728, 742, 902, 960?
GCD of given numbers 728, 742, 902, 960 is 2
2. How to calculate the greatest common divisor of 728, 742, 902, 960?
We can find the highest common divisor of 728, 742, 902, 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 728, 742, 902, 960 i.e 2.
3. How can I use the GCD of 728, 742, 902, 960Calculator?
Out the numbers 728, 742, 902, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.