Online GCD Calculator is useful to find the GCD of 616, 228, 216, 687 quickly. Get the easiest ways to solve the greatest common divisor of 616, 228, 216, 687 i.e 1 in different methods as follows.
Given Input numbers are 616, 228, 216, 687
In the factoring method, we have to find the divisors of all numbers
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 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 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (616, 228, 216, 687) = 1.
Given numbers are 616, 228, 216, 687
The list of prime factors of all numbers are
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 616, 228, 216, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 228) = 35112
GCD(616, 228) = ( 616 x 228 ) / 35112
= 616 / 228
= 616
Step2:
LCM(4, 216) = 216
GCD(4, 216) = ( 4 x 216 ) / 216
= 4 / 216
= 4
Step3:
LCM(4, 687) = 2748
GCD(4, 687) = ( 4 x 687 ) / 2748
= 4 / 687
= 4
So, Greatest Common Divisor of 616, 228, 216, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 616, 228, 216, 687
The greatest common divisor of numbers 616, 228, 216, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 228, 216, 687 is 1.
1. What is the GCD of 616, 228, 216, 687?
GCD of given numbers 616, 228, 216, 687 is 1
2. How to calculate the greatest common divisor of 616, 228, 216, 687?
We can find the highest common divisor of 616, 228, 216, 687 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 616, 228, 216, 687 i.e 1.
3. How can I use the GCD of 616, 228, 216, 687Calculator?
Out the numbers 616, 228, 216, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.