Online GCD Calculator is useful to find the GCD of 270, 915, 885, 861 quickly. Get the easiest ways to solve the greatest common divisor of 270, 915, 885, 861 i.e 3 in different methods as follows.
Given Input numbers are 270, 915, 885, 861
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 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (270, 915, 885, 861) = 3.
Given numbers are 270, 915, 885, 861
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 915 are 3 x 5 x 61
Prime factors of 885 are 3 x 5 x 59
Prime factors of 861 are 3 x 7 x 41
The highest common occurrence is 31
Therefore, GCD of 270, 915, 885, 861 is 3.
Given numbers are 270, 915, 885, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 915) = 16470
GCD(270, 915) = ( 270 x 915 ) / 16470
= 270 / 915
= 270
Step2:
LCM(15, 885) = 885
GCD(15, 885) = ( 15 x 885 ) / 885
= 15 / 885
= 15
Step3:
LCM(15, 861) = 4305
GCD(15, 861) = ( 15 x 861 ) / 4305
= 15 / 861
= 15
So, Greatest Common Divisor of 270, 915, 885, 861 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 915, 885, 861
The greatest common divisor of numbers 270, 915, 885, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 915, 885, 861 is 3.
1. What is the GCD of 270, 915, 885, 861?
GCD of given numbers 270, 915, 885, 861 is 3
2. How to calculate the greatest common divisor of 270, 915, 885, 861?
We can find the highest common divisor of 270, 915, 885, 861 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, 915, 885, 861 i.e 3.
3. How can I use the GCD of 270, 915, 885, 861Calculator?
Out the numbers 270, 915, 885, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.