Online GCD Calculator is useful to find the GCD of 210, 369, 225, 468 quickly. Get the easiest ways to solve the greatest common divisor of 210, 369, 225, 468 i.e 3 in different methods as follows.
Given Input numbers are 210, 369, 225, 468
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
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 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (210, 369, 225, 468) = 3.
Given numbers are 210, 369, 225, 468
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 369 are 3 x 3 x 41
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 210, 369, 225, 468 is 3.
Given numbers are 210, 369, 225, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 369) = 25830
GCD(210, 369) = ( 210 x 369 ) / 25830
= 210 / 369
= 210
Step2:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
Step3:
LCM(3, 468) = 468
GCD(3, 468) = ( 3 x 468 ) / 468
= 3 / 468
= 3
So, Greatest Common Divisor of 210, 369, 225, 468 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 369, 225, 468
The greatest common divisor of numbers 210, 369, 225, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 369, 225, 468 is 3.
1. What is the GCD of 210, 369, 225, 468?
GCD of given numbers 210, 369, 225, 468 is 3
2. How to calculate the greatest common divisor of 210, 369, 225, 468?
We can find the highest common divisor of 210, 369, 225, 468 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 210, 369, 225, 468 i.e 3.
3. How can I use the GCD of 210, 369, 225, 468Calculator?
Out the numbers 210, 369, 225, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.