Online GCD Calculator is useful to find the GCD of 228, 316, 616, 548 quickly. Get the easiest ways to solve the greatest common divisor of 228, 316, 616, 548 i.e 4 in different methods as follows.
Given Input numbers are 228, 316, 616, 548
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 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (228, 316, 616, 548) = 4.
Given numbers are 228, 316, 616, 548
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 316 are 2 x 2 x 79
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 548 are 2 x 2 x 137
The highest common occurrence is 22
Therefore, GCD of 228, 316, 616, 548 is 4.
Given numbers are 228, 316, 616, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 316) = 18012
GCD(228, 316) = ( 228 x 316 ) / 18012
= 228 / 316
= 228
Step2:
LCM(4, 616) = 616
GCD(4, 616) = ( 4 x 616 ) / 616
= 4 / 616
= 4
Step3:
LCM(4, 548) = 548
GCD(4, 548) = ( 4 x 548 ) / 548
= 4 / 548
= 4
So, Greatest Common Divisor of 228, 316, 616, 548 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 316, 616, 548
The greatest common divisor of numbers 228, 316, 616, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 316, 616, 548 is 4.
1. What is the GCD of 228, 316, 616, 548?
GCD of given numbers 228, 316, 616, 548 is 4
2. How to calculate the greatest common divisor of 228, 316, 616, 548?
We can find the highest common divisor of 228, 316, 616, 548 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, 316, 616, 548 i.e 4.
3. How can I use the GCD of 228, 316, 616, 548Calculator?
Out the numbers 228, 316, 616, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.