Online GCD Calculator is useful to find the GCD of 648, 579, 825 quickly. Get the easiest ways to solve the greatest common divisor of 648, 579, 825 i.e 3 in different methods as follows.
Given Input numbers are 648, 579, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 579 :
The positive integer divisors of 579 that completely divides 579 are.
1, 3, 193, 579
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (648, 579, 825) = 3.
Given numbers are 648, 579, 825
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 579 are 3 x 193
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 648, 579, 825 is 3.
Given numbers are 648, 579, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 579) = 125064
GCD(648, 579) = ( 648 x 579 ) / 125064
= 648 / 579
= 648
Step2:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
So, Greatest Common Divisor of 648, 579, 825 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 579, 825
The greatest common divisor of numbers 648, 579, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 579, 825 is 3.
1. What is the GCD of 648, 579, 825?
GCD of given numbers 648, 579, 825 is 3
2. How to calculate the greatest common divisor of 648, 579, 825?
We can find the highest common divisor of 648, 579, 825 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 648, 579, 825 i.e 3.
3. How can I use the GCD of 648, 579, 825Calculator?
Out the numbers 648, 579, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.