Online GCD Calculator is useful to find the GCD of 228, 123, 688, 336 quickly. Get the easiest ways to solve the greatest common divisor of 228, 123, 688, 336 i.e 1 in different methods as follows.
Given Input numbers are 228, 123, 688, 336
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 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (228, 123, 688, 336) = 1.
Given numbers are 228, 123, 688, 336
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 123 are 3 x 41
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 228, 123, 688, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 123) = 9348
GCD(228, 123) = ( 228 x 123 ) / 9348
= 228 / 123
= 228
Step2:
LCM(3, 688) = 2064
GCD(3, 688) = ( 3 x 688 ) / 2064
= 3 / 688
= 3
Step3:
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
= 1 / 336
= 1
So, Greatest Common Divisor of 228, 123, 688, 336 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 123, 688, 336
The greatest common divisor of numbers 228, 123, 688, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 123, 688, 336 is 1.
1. What is the GCD of 228, 123, 688, 336?
GCD of given numbers 228, 123, 688, 336 is 1
2. How to calculate the greatest common divisor of 228, 123, 688, 336?
We can find the highest common divisor of 228, 123, 688, 336 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, 123, 688, 336 i.e 1.
3. How can I use the GCD of 228, 123, 688, 336Calculator?
Out the numbers 228, 123, 688, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.