Online GCD Calculator is useful to find the GCD of 678, 448, 228, 165 quickly. Get the easiest ways to solve the greatest common divisor of 678, 448, 228, 165 i.e 1 in different methods as follows.
Given Input numbers are 678, 448, 228, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
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 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (678, 448, 228, 165) = 1.
Given numbers are 678, 448, 228, 165
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 165 are 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 678, 448, 228, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 448) = 151872
GCD(678, 448) = ( 678 x 448 ) / 151872
= 678 / 448
= 678
Step2:
LCM(2, 228) = 228
GCD(2, 228) = ( 2 x 228 ) / 228
= 2 / 228
= 2
Step3:
LCM(2, 165) = 330
GCD(2, 165) = ( 2 x 165 ) / 330
= 2 / 165
= 2
So, Greatest Common Divisor of 678, 448, 228, 165 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 448, 228, 165
The greatest common divisor of numbers 678, 448, 228, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 448, 228, 165 is 1.
1. What is the GCD of 678, 448, 228, 165?
GCD of given numbers 678, 448, 228, 165 is 1
2. How to calculate the greatest common divisor of 678, 448, 228, 165?
We can find the highest common divisor of 678, 448, 228, 165 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 678, 448, 228, 165 i.e 1.
3. How can I use the GCD of 678, 448, 228, 165Calculator?
Out the numbers 678, 448, 228, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.