Online GCD Calculator is useful to find the GCD of 285, 531, 465, 867 quickly. Get the easiest ways to solve the greatest common divisor of 285, 531, 465, 867 i.e 3 in different methods as follows.
Given Input numbers are 285, 531, 465, 867
In the factoring method, we have to find the divisors of all numbers
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
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 (285, 531, 465, 867) = 3.
Given numbers are 285, 531, 465, 867
The list of prime factors of all numbers are
Prime factors of 285 are 3 x 5 x 19
Prime factors of 531 are 3 x 3 x 59
Prime factors of 465 are 3 x 5 x 31
Prime factors of 867 are 3 x 17 x 17
The highest common occurrence is 31
Therefore, GCD of 285, 531, 465, 867 is 3.
Given numbers are 285, 531, 465, 867
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(285, 531) = 50445
GCD(285, 531) = ( 285 x 531 ) / 50445
= 285 / 531
= 285
Step2:
LCM(3, 465) = 465
GCD(3, 465) = ( 3 x 465 ) / 465
= 3 / 465
= 3
Step3:
LCM(3, 867) = 867
GCD(3, 867) = ( 3 x 867 ) / 867
= 3 / 867
= 3
So, Greatest Common Divisor of 285, 531, 465, 867 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 285, 531, 465, 867
The greatest common divisor of numbers 285, 531, 465, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 531, 465, 867 is 3.
1. What is the GCD of 285, 531, 465, 867?
GCD of given numbers 285, 531, 465, 867 is 3
2. How to calculate the greatest common divisor of 285, 531, 465, 867?
We can find the highest common divisor of 285, 531, 465, 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 285, 531, 465, 867 i.e 3.
3. How can I use the GCD of 285, 531, 465, 867Calculator?
Out the numbers 285, 531, 465, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.