Online GCD Calculator is useful to find the GCD of 270, 855, 897, 303 quickly. Get the easiest ways to solve the greatest common divisor of 270, 855, 897, 303 i.e 3 in different methods as follows.
Given Input numbers are 270, 855, 897, 303
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (270, 855, 897, 303) = 3.
Given numbers are 270, 855, 897, 303
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 897 are 3 x 13 x 23
Prime factors of 303 are 3 x 101
The highest common occurrence is 31
Therefore, GCD of 270, 855, 897, 303 is 3.
Given numbers are 270, 855, 897, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 855) = 5130
GCD(270, 855) = ( 270 x 855 ) / 5130
= 270 / 855
= 270
Step2:
LCM(45, 897) = 13455
GCD(45, 897) = ( 45 x 897 ) / 13455
= 45 / 897
= 45
Step3:
LCM(3, 303) = 303
GCD(3, 303) = ( 3 x 303 ) / 303
= 3 / 303
= 3
So, Greatest Common Divisor of 270, 855, 897, 303 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 855, 897, 303
The greatest common divisor of numbers 270, 855, 897, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 855, 897, 303 is 3.
1. What is the GCD of 270, 855, 897, 303?
GCD of given numbers 270, 855, 897, 303 is 3
2. How to calculate the greatest common divisor of 270, 855, 897, 303?
We can find the highest common divisor of 270, 855, 897, 303 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 270, 855, 897, 303 i.e 3.
3. How can I use the GCD of 270, 855, 897, 303Calculator?
Out the numbers 270, 855, 897, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.