Online GCD Calculator is useful to find the GCD of 465, 168, 984, 225 quickly. Get the easiest ways to solve the greatest common divisor of 465, 168, 984, 225 i.e 3 in different methods as follows.
Given Input numbers are 465, 168, 984, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
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 (465, 168, 984, 225) = 3.
Given numbers are 465, 168, 984, 225
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 465, 168, 984, 225 is 3.
Given numbers are 465, 168, 984, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 168) = 26040
GCD(465, 168) = ( 465 x 168 ) / 26040
= 465 / 168
= 465
Step2:
LCM(3, 984) = 984
GCD(3, 984) = ( 3 x 984 ) / 984
= 3 / 984
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 465, 168, 984, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 168, 984, 225
The greatest common divisor of numbers 465, 168, 984, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 168, 984, 225 is 3.
1. What is the GCD of 465, 168, 984, 225?
GCD of given numbers 465, 168, 984, 225 is 3
2. How to calculate the greatest common divisor of 465, 168, 984, 225?
We can find the highest common divisor of 465, 168, 984, 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 465, 168, 984, 225 i.e 3.
3. How can I use the GCD of 465, 168, 984, 225Calculator?
Out the numbers 465, 168, 984, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.