Online GCD Calculator is useful to find the GCD of 465, 216, 321, 867 quickly. Get the easiest ways to solve the greatest common divisor of 465, 216, 321, 867 i.e 3 in different methods as follows.
Given Input numbers are 465, 216, 321, 867
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 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
GCD of numbers is the greatest common divisor
So, the GCD (465, 216, 321, 867) = 3.
Given numbers are 465, 216, 321, 867
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 321 are 3 x 107
Prime factors of 867 are 3 x 17 x 17
The highest common occurrence is 31
Therefore, GCD of 465, 216, 321, 867 is 3.
Given numbers are 465, 216, 321, 867
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 216) = 33480
GCD(465, 216) = ( 465 x 216 ) / 33480
= 465 / 216
= 465
Step2:
LCM(3, 321) = 321
GCD(3, 321) = ( 3 x 321 ) / 321
= 3 / 321
= 3
Step3:
LCM(3, 867) = 867
GCD(3, 867) = ( 3 x 867 ) / 867
= 3 / 867
= 3
So, Greatest Common Divisor of 465, 216, 321, 867 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 216, 321, 867
The greatest common divisor of numbers 465, 216, 321, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 216, 321, 867 is 3.
1. What is the GCD of 465, 216, 321, 867?
GCD of given numbers 465, 216, 321, 867 is 3
2. How to calculate the greatest common divisor of 465, 216, 321, 867?
We can find the highest common divisor of 465, 216, 321, 867 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, 216, 321, 867 i.e 3.
3. How can I use the GCD of 465, 216, 321, 867Calculator?
Out the numbers 465, 216, 321, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.