Online GCD Calculator is useful to find the GCD of 612, 213, 225 quickly. Get the easiest ways to solve the greatest common divisor of 612, 213, 225 i.e 3 in different methods as follows.
Given Input numbers are 612, 213, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (612, 213, 225) = 3.
Given numbers are 612, 213, 225
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 213 are 3 x 71
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 612, 213, 225 is 3.
Given numbers are 612, 213, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 213) = 43452
GCD(612, 213) = ( 612 x 213 ) / 43452
= 612 / 213
= 612
Step2:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 612, 213, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 213, 225
The greatest common divisor of numbers 612, 213, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 213, 225 is 3.
1. What is the GCD of 612, 213, 225?
GCD of given numbers 612, 213, 225 is 3
2. How to calculate the greatest common divisor of 612, 213, 225?
We can find the highest common divisor of 612, 213, 225 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 612, 213, 225 i.e 3.
3. How can I use the GCD of 612, 213, 225Calculator?
Out the numbers 612, 213, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.