Online GCD Calculator is useful to find the GCD of 225, 678, 768 quickly. Get the easiest ways to solve the greatest common divisor of 225, 678, 768 i.e 3 in different methods as follows.
Given Input numbers are 225, 678, 768
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
GCD of numbers is the greatest common divisor
So, the GCD (225, 678, 768) = 3.
Given numbers are 225, 678, 768
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 678 are 2 x 3 x 113
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 225, 678, 768 is 3.
Given numbers are 225, 678, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 678) = 50850
GCD(225, 678) = ( 225 x 678 ) / 50850
= 225 / 678
= 225
Step2:
LCM(3, 768) = 768
GCD(3, 768) = ( 3 x 768 ) / 768
= 3 / 768
= 3
So, Greatest Common Divisor of 225, 678, 768 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 678, 768
The greatest common divisor of numbers 225, 678, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 678, 768 is 3.
1. What is the GCD of 225, 678, 768?
GCD of given numbers 225, 678, 768 is 3
2. How to calculate the greatest common divisor of 225, 678, 768?
We can find the highest common divisor of 225, 678, 768 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 225, 678, 768 i.e 3.
3. How can I use the GCD of 225, 678, 768Calculator?
Out the numbers 225, 678, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.