Online GCD Calculator is useful to find the GCD of 885, 735, 345 quickly. Get the easiest ways to solve the greatest common divisor of 885, 735, 345 i.e 15 in different methods as follows.
Given Input numbers are 885, 735, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (885, 735, 345) = 15.
Given numbers are 885, 735, 345
The list of prime factors of all numbers are
Prime factors of 885 are 3 x 5 x 59
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 345 are 3 x 5 x 23
The highest common occurrence is 31 x 51
Therefore, GCD of 885, 735, 345 is 15.
Given numbers are 885, 735, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(885, 735) = 43365
GCD(885, 735) = ( 885 x 735 ) / 43365
= 885 / 735
= 885
Step2:
LCM(15, 345) = 345
GCD(15, 345) = ( 15 x 345 ) / 345
= 15 / 345
= 15
So, Greatest Common Divisor of 885, 735, 345 is 15
Here are some samples of GCD of Numbers calculations.
Given numbers are 885, 735, 345
The greatest common divisor of numbers 885, 735, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 885, 735, 345 is 15.
1. What is the GCD of 885, 735, 345?
GCD of given numbers 885, 735, 345 is 15
2. How to calculate the greatest common divisor of 885, 735, 345?
We can find the highest common divisor of 885, 735, 345 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 885, 735, 345 i.e 15.
3. How can I use the GCD of 885, 735, 345Calculator?
Out the numbers 885, 735, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.