Online GCD Calculator is useful to find the GCD of 682, 834, 516, 320 quickly. Get the easiest ways to solve the greatest common divisor of 682, 834, 516, 320 i.e 2 in different methods as follows.
Given Input numbers are 682, 834, 516, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (682, 834, 516, 320) = 2.
Given numbers are 682, 834, 516, 320
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 834 are 2 x 3 x 139
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 682, 834, 516, 320 is 2.
Given numbers are 682, 834, 516, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 834) = 284394
GCD(682, 834) = ( 682 x 834 ) / 284394
= 682 / 834
= 682
Step2:
LCM(2, 516) = 516
GCD(2, 516) = ( 2 x 516 ) / 516
= 2 / 516
= 2
Step3:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
So, Greatest Common Divisor of 682, 834, 516, 320 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 834, 516, 320
The greatest common divisor of numbers 682, 834, 516, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 834, 516, 320 is 2.
1. What is the GCD of 682, 834, 516, 320?
GCD of given numbers 682, 834, 516, 320 is 2
2. How to calculate the greatest common divisor of 682, 834, 516, 320?
We can find the highest common divisor of 682, 834, 516, 320 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 682, 834, 516, 320 i.e 2.
3. How can I use the GCD of 682, 834, 516, 320Calculator?
Out the numbers 682, 834, 516, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.