Online GCD Calculator is useful to find the GCD of 243, 456, 675 quickly. Get the easiest ways to solve the greatest common divisor of 243, 456, 675 i.e 3 in different methods as follows.
Given Input numbers are 243, 456, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (243, 456, 675) = 3.
Given numbers are 243, 456, 675
The list of prime factors of all numbers are
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 243, 456, 675 is 3.
Given numbers are 243, 456, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 456) = 36936
GCD(243, 456) = ( 243 x 456 ) / 36936
= 243 / 456
= 243
Step2:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 243, 456, 675 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 243, 456, 675
The greatest common divisor of numbers 243, 456, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 456, 675 is 3.
1. What is the GCD of 243, 456, 675?
GCD of given numbers 243, 456, 675 is 3
2. How to calculate the greatest common divisor of 243, 456, 675?
We can find the highest common divisor of 243, 456, 675 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 243, 456, 675 i.e 3.
3. How can I use the GCD of 243, 456, 675Calculator?
Out the numbers 243, 456, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.