Online GCD Calculator is useful to find the GCD of 308, 636, 108, 780 quickly. Get the easiest ways to solve the greatest common divisor of 308, 636, 108, 780 i.e 4 in different methods as follows.
Given Input numbers are 308, 636, 108, 780
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 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
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
GCD of numbers is the greatest common divisor
So, the GCD (308, 636, 108, 780) = 4.
Given numbers are 308, 636, 108, 780
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 22
Therefore, GCD of 308, 636, 108, 780 is 4.
Given numbers are 308, 636, 108, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 636) = 48972
GCD(308, 636) = ( 308 x 636 ) / 48972
= 308 / 636
= 308
Step2:
LCM(4, 108) = 108
GCD(4, 108) = ( 4 x 108 ) / 108
= 4 / 108
= 4
Step3:
LCM(4, 780) = 780
GCD(4, 780) = ( 4 x 780 ) / 780
= 4 / 780
= 4
So, Greatest Common Divisor of 308, 636, 108, 780 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 636, 108, 780
The greatest common divisor of numbers 308, 636, 108, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 636, 108, 780 is 4.
1. What is the GCD of 308, 636, 108, 780?
GCD of given numbers 308, 636, 108, 780 is 4
2. How to calculate the greatest common divisor of 308, 636, 108, 780?
We can find the highest common divisor of 308, 636, 108, 780 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, 636, 108, 780 i.e 4.
3. How can I use the GCD of 308, 636, 108, 780Calculator?
Out the numbers 308, 636, 108, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.