Online GCD Calculator is useful to find the GCD of 310, 992, 944, 960 quickly. Get the easiest ways to solve the greatest common divisor of 310, 992, 944, 960 i.e 2 in different methods as follows.
Given Input numbers are 310, 992, 944, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
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 (310, 992, 944, 960) = 2.
Given numbers are 310, 992, 944, 960
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
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 310, 992, 944, 960 is 2.
Given numbers are 310, 992, 944, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 992) = 4960
GCD(310, 992) = ( 310 x 992 ) / 4960
= 310 / 992
= 310
Step2:
LCM(62, 944) = 29264
GCD(62, 944) = ( 62 x 944 ) / 29264
= 62 / 944
= 62
Step3:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
So, Greatest Common Divisor of 310, 992, 944, 960 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 992, 944, 960
The greatest common divisor of numbers 310, 992, 944, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 992, 944, 960 is 2.
1. What is the GCD of 310, 992, 944, 960?
GCD of given numbers 310, 992, 944, 960 is 2
2. How to calculate the greatest common divisor of 310, 992, 944, 960?
We can find the highest common divisor of 310, 992, 944, 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 310, 992, 944, 960 i.e 2.
3. How can I use the GCD of 310, 992, 944, 960Calculator?
Out the numbers 310, 992, 944, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.