Online GCD Calculator is useful to find the GCD of 228, 756, 680, 306 quickly. Get the easiest ways to solve the greatest common divisor of 228, 756, 680, 306 i.e 2 in different methods as follows.
Given Input numbers are 228, 756, 680, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (228, 756, 680, 306) = 2.
Given numbers are 228, 756, 680, 306
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 228, 756, 680, 306 is 2.
Given numbers are 228, 756, 680, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 756) = 14364
GCD(228, 756) = ( 228 x 756 ) / 14364
= 228 / 756
= 228
Step2:
LCM(12, 680) = 2040
GCD(12, 680) = ( 12 x 680 ) / 2040
= 12 / 680
= 12
Step3:
LCM(4, 306) = 612
GCD(4, 306) = ( 4 x 306 ) / 612
= 4 / 306
= 4
So, Greatest Common Divisor of 228, 756, 680, 306 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 756, 680, 306
The greatest common divisor of numbers 228, 756, 680, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 756, 680, 306 is 2.
1. What is the GCD of 228, 756, 680, 306?
GCD of given numbers 228, 756, 680, 306 is 2
2. How to calculate the greatest common divisor of 228, 756, 680, 306?
We can find the highest common divisor of 228, 756, 680, 306 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 228, 756, 680, 306 i.e 2.
3. How can I use the GCD of 228, 756, 680, 306Calculator?
Out the numbers 228, 756, 680, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.