Online GCD Calculator is useful to find the GCD of 806, 850, 820, 130 quickly. Get the easiest ways to solve the greatest common divisor of 806, 850, 820, 130 i.e 2 in different methods as follows.
Given Input numbers are 806, 850, 820, 130
In the factoring method, we have to find the divisors of all numbers
Divisors of 806 :
The positive integer divisors of 806 that completely divides 806 are.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
GCD of numbers is the greatest common divisor
So, the GCD (806, 850, 820, 130) = 2.
Given numbers are 806, 850, 820, 130
The list of prime factors of all numbers are
Prime factors of 806 are 2 x 13 x 31
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 130 are 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 806, 850, 820, 130 is 2.
Given numbers are 806, 850, 820, 130
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(806, 850) = 342550
GCD(806, 850) = ( 806 x 850 ) / 342550
= 806 / 850
= 806
Step2:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
Step3:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
So, Greatest Common Divisor of 806, 850, 820, 130 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 806, 850, 820, 130
The greatest common divisor of numbers 806, 850, 820, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 806, 850, 820, 130 is 2.
1. What is the GCD of 806, 850, 820, 130?
GCD of given numbers 806, 850, 820, 130 is 2
2. How to calculate the greatest common divisor of 806, 850, 820, 130?
We can find the highest common divisor of 806, 850, 820, 130 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 806, 850, 820, 130 i.e 2.
3. How can I use the GCD of 806, 850, 820, 130Calculator?
Out the numbers 806, 850, 820, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.