Online GCD Calculator is useful to find the GCD of 834, 644, 824, 960 quickly. Get the easiest ways to solve the greatest common divisor of 834, 644, 824, 960 i.e 2 in different methods as follows.
Given Input numbers are 834, 644, 824, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
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 (834, 644, 824, 960) = 2.
Given numbers are 834, 644, 824, 960
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 824 are 2 x 2 x 2 x 103
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 834, 644, 824, 960 is 2.
Given numbers are 834, 644, 824, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 644) = 268548
GCD(834, 644) = ( 834 x 644 ) / 268548
= 834 / 644
= 834
Step2:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
Step3:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
So, Greatest Common Divisor of 834, 644, 824, 960 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 644, 824, 960
The greatest common divisor of numbers 834, 644, 824, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 644, 824, 960 is 2.
1. What is the GCD of 834, 644, 824, 960?
GCD of given numbers 834, 644, 824, 960 is 2
2. How to calculate the greatest common divisor of 834, 644, 824, 960?
We can find the highest common divisor of 834, 644, 824, 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 834, 644, 824, 960 i.e 2.
3. How can I use the GCD of 834, 644, 824, 960Calculator?
Out the numbers 834, 644, 824, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.