Online GCD Calculator is useful to find the GCD of 834, 684, 520, 874 quickly. Get the easiest ways to solve the greatest common divisor of 834, 684, 520, 874 i.e 2 in different methods as follows.
Given Input numbers are 834, 684, 520, 874
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (834, 684, 520, 874) = 2.
Given numbers are 834, 684, 520, 874
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 874 are 2 x 19 x 23
The highest common occurrence is 21
Therefore, GCD of 834, 684, 520, 874 is 2.
Given numbers are 834, 684, 520, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 684) = 95076
GCD(834, 684) = ( 834 x 684 ) / 95076
= 834 / 684
= 834
Step2:
LCM(6, 520) = 1560
GCD(6, 520) = ( 6 x 520 ) / 1560
= 6 / 520
= 6
Step3:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
So, Greatest Common Divisor of 834, 684, 520, 874 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 684, 520, 874
The greatest common divisor of numbers 834, 684, 520, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 684, 520, 874 is 2.
1. What is the GCD of 834, 684, 520, 874?
GCD of given numbers 834, 684, 520, 874 is 2
2. How to calculate the greatest common divisor of 834, 684, 520, 874?
We can find the highest common divisor of 834, 684, 520, 874 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, 684, 520, 874 i.e 2.
3. How can I use the GCD of 834, 684, 520, 874Calculator?
Out the numbers 834, 684, 520, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.