Online GCD Calculator is useful to find the GCD of 820, 718, 446, 518 quickly. Get the easiest ways to solve the greatest common divisor of 820, 718, 446, 518 i.e 2 in different methods as follows.
Given Input numbers are 820, 718, 446, 518
In the factoring method, we have to find the divisors of all numbers
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 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
GCD of numbers is the greatest common divisor
So, the GCD (820, 718, 446, 518) = 2.
Given numbers are 820, 718, 446, 518
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 718 are 2 x 359
Prime factors of 446 are 2 x 223
Prime factors of 518 are 2 x 7 x 37
The highest common occurrence is 21
Therefore, GCD of 820, 718, 446, 518 is 2.
Given numbers are 820, 718, 446, 518
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 718) = 294380
GCD(820, 718) = ( 820 x 718 ) / 294380
= 820 / 718
= 820
Step2:
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
= 2 / 446
= 2
Step3:
LCM(2, 518) = 518
GCD(2, 518) = ( 2 x 518 ) / 518
= 2 / 518
= 2
So, Greatest Common Divisor of 820, 718, 446, 518 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 718, 446, 518
The greatest common divisor of numbers 820, 718, 446, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 718, 446, 518 is 2.
1. What is the GCD of 820, 718, 446, 518?
GCD of given numbers 820, 718, 446, 518 is 2
2. How to calculate the greatest common divisor of 820, 718, 446, 518?
We can find the highest common divisor of 820, 718, 446, 518 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 820, 718, 446, 518 i.e 2.
3. How can I use the GCD of 820, 718, 446, 518Calculator?
Out the numbers 820, 718, 446, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.