Online GCD Calculator is useful to find the GCD of 960, 500, 788, 646 quickly. Get the easiest ways to solve the greatest common divisor of 960, 500, 788, 646 i.e 2 in different methods as follows.
Given Input numbers are 960, 500, 788, 646
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (960, 500, 788, 646) = 2.
Given numbers are 960, 500, 788, 646
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 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 788 are 2 x 2 x 197
Prime factors of 646 are 2 x 17 x 19
The highest common occurrence is 21
Therefore, GCD of 960, 500, 788, 646 is 2.
Given numbers are 960, 500, 788, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 500) = 24000
GCD(960, 500) = ( 960 x 500 ) / 24000
= 960 / 500
= 960
Step2:
LCM(20, 788) = 3940
GCD(20, 788) = ( 20 x 788 ) / 3940
= 20 / 788
= 20
Step3:
LCM(4, 646) = 1292
GCD(4, 646) = ( 4 x 646 ) / 1292
= 4 / 646
= 4
So, Greatest Common Divisor of 960, 500, 788, 646 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 500, 788, 646
The greatest common divisor of numbers 960, 500, 788, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 500, 788, 646 is 2.
1. What is the GCD of 960, 500, 788, 646?
GCD of given numbers 960, 500, 788, 646 is 2
2. How to calculate the greatest common divisor of 960, 500, 788, 646?
We can find the highest common divisor of 960, 500, 788, 646 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, 500, 788, 646 i.e 2.
3. How can I use the GCD of 960, 500, 788, 646Calculator?
Out the numbers 960, 500, 788, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.