Online GCD Calculator is useful to find the GCD of 918, 810, 285, 567 quickly. Get the easiest ways to solve the greatest common divisor of 918, 810, 285, 567 i.e 3 in different methods as follows.
Given Input numbers are 918, 810, 285, 567
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
GCD of numbers is the greatest common divisor
So, the GCD (918, 810, 285, 567) = 3.
Given numbers are 918, 810, 285, 567
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 285 are 3 x 5 x 19
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 918, 810, 285, 567 is 3.
Given numbers are 918, 810, 285, 567
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 810) = 13770
GCD(918, 810) = ( 918 x 810 ) / 13770
= 918 / 810
= 918
Step2:
LCM(54, 285) = 5130
GCD(54, 285) = ( 54 x 285 ) / 5130
= 54 / 285
= 54
Step3:
LCM(3, 567) = 567
GCD(3, 567) = ( 3 x 567 ) / 567
= 3 / 567
= 3
So, Greatest Common Divisor of 918, 810, 285, 567 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 810, 285, 567
The greatest common divisor of numbers 918, 810, 285, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 810, 285, 567 is 3.
1. What is the GCD of 918, 810, 285, 567?
GCD of given numbers 918, 810, 285, 567 is 3
2. How to calculate the greatest common divisor of 918, 810, 285, 567?
We can find the highest common divisor of 918, 810, 285, 567 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 918, 810, 285, 567 i.e 3.
3. How can I use the GCD of 918, 810, 285, 567Calculator?
Out the numbers 918, 810, 285, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.