Online GCD Calculator is useful to find the GCD of 976, 460, 788, 966 quickly. Get the easiest ways to solve the greatest common divisor of 976, 460, 788, 966 i.e 2 in different methods as follows.
Given Input numbers are 976, 460, 788, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (976, 460, 788, 966) = 2.
Given numbers are 976, 460, 788, 966
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 788 are 2 x 2 x 197
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 976, 460, 788, 966 is 2.
Given numbers are 976, 460, 788, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 460) = 112240
GCD(976, 460) = ( 976 x 460 ) / 112240
= 976 / 460
= 976
Step2:
LCM(4, 788) = 788
GCD(4, 788) = ( 4 x 788 ) / 788
= 4 / 788
= 4
Step3:
LCM(4, 966) = 1932
GCD(4, 966) = ( 4 x 966 ) / 1932
= 4 / 966
= 4
So, Greatest Common Divisor of 976, 460, 788, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 460, 788, 966
The greatest common divisor of numbers 976, 460, 788, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 460, 788, 966 is 2.
1. What is the GCD of 976, 460, 788, 966?
GCD of given numbers 976, 460, 788, 966 is 2
2. How to calculate the greatest common divisor of 976, 460, 788, 966?
We can find the highest common divisor of 976, 460, 788, 966 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 976, 460, 788, 966 i.e 2.
3. How can I use the GCD of 976, 460, 788, 966Calculator?
Out the numbers 976, 460, 788, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.