Online GCD Calculator is useful to find the GCD of 308, 780, 646, 390 quickly. Get the easiest ways to solve the greatest common divisor of 308, 780, 646, 390 i.e 2 in different methods as follows.
Given Input numbers are 308, 780, 646, 390
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD of numbers is the greatest common divisor
So, the GCD (308, 780, 646, 390) = 2.
Given numbers are 308, 780, 646, 390
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 646 are 2 x 17 x 19
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 308, 780, 646, 390 is 2.
Given numbers are 308, 780, 646, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 780) = 60060
GCD(308, 780) = ( 308 x 780 ) / 60060
= 308 / 780
= 308
Step2:
LCM(4, 646) = 1292
GCD(4, 646) = ( 4 x 646 ) / 1292
= 4 / 646
= 4
Step3:
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
= 2 / 390
= 2
So, Greatest Common Divisor of 308, 780, 646, 390 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 780, 646, 390
The greatest common divisor of numbers 308, 780, 646, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 780, 646, 390 is 2.
1. What is the GCD of 308, 780, 646, 390?
GCD of given numbers 308, 780, 646, 390 is 2
2. How to calculate the greatest common divisor of 308, 780, 646, 390?
We can find the highest common divisor of 308, 780, 646, 390 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 308, 780, 646, 390 i.e 2.
3. How can I use the GCD of 308, 780, 646, 390Calculator?
Out the numbers 308, 780, 646, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.