Online GCD Calculator is useful to find the GCD of 834, 360, 636, 936 quickly. Get the easiest ways to solve the greatest common divisor of 834, 360, 636, 936 i.e 6 in different methods as follows.
Given Input numbers are 834, 360, 636, 936
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (834, 360, 636, 936) = 6.
Given numbers are 834, 360, 636, 936
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 834, 360, 636, 936 is 6.
Given numbers are 834, 360, 636, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 360) = 50040
GCD(834, 360) = ( 834 x 360 ) / 50040
= 834 / 360
= 834
Step2:
LCM(6, 636) = 636
GCD(6, 636) = ( 6 x 636 ) / 636
= 6 / 636
= 6
Step3:
LCM(6, 936) = 936
GCD(6, 936) = ( 6 x 936 ) / 936
= 6 / 936
= 6
So, Greatest Common Divisor of 834, 360, 636, 936 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 360, 636, 936
The greatest common divisor of numbers 834, 360, 636, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 360, 636, 936 is 6.
1. What is the GCD of 834, 360, 636, 936?
GCD of given numbers 834, 360, 636, 936 is 6
2. How to calculate the greatest common divisor of 834, 360, 636, 936?
We can find the highest common divisor of 834, 360, 636, 936 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, 360, 636, 936 i.e 6.
3. How can I use the GCD of 834, 360, 636, 936Calculator?
Out the numbers 834, 360, 636, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.