Online GCD Calculator is useful to find the GCD of 960, 576, 796, 302 quickly. Get the easiest ways to solve the greatest common divisor of 960, 576, 796, 302 i.e 2 in different methods as follows.
Given Input numbers are 960, 576, 796, 302
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (960, 576, 796, 302) = 2.
Given numbers are 960, 576, 796, 302
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 796 are 2 x 2 x 199
Prime factors of 302 are 2 x 151
The highest common occurrence is 21
Therefore, GCD of 960, 576, 796, 302 is 2.
Given numbers are 960, 576, 796, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 576) = 2880
GCD(960, 576) = ( 960 x 576 ) / 2880
= 960 / 576
= 960
Step2:
LCM(192, 796) = 38208
GCD(192, 796) = ( 192 x 796 ) / 38208
= 192 / 796
= 192
Step3:
LCM(4, 302) = 604
GCD(4, 302) = ( 4 x 302 ) / 604
= 4 / 302
= 4
So, Greatest Common Divisor of 960, 576, 796, 302 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 576, 796, 302
The greatest common divisor of numbers 960, 576, 796, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 576, 796, 302 is 2.
1. What is the GCD of 960, 576, 796, 302?
GCD of given numbers 960, 576, 796, 302 is 2
2. How to calculate the greatest common divisor of 960, 576, 796, 302?
We can find the highest common divisor of 960, 576, 796, 302 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 960, 576, 796, 302 i.e 2.
3. How can I use the GCD of 960, 576, 796, 302Calculator?
Out the numbers 960, 576, 796, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.