Online GCD Calculator is useful to find the GCD of 585, 370, 755 quickly. Get the easiest ways to solve the greatest common divisor of 585, 370, 755 i.e 5 in different methods as follows.
Given Input numbers are 585, 370, 755
In the factoring method, we have to find the divisors of all numbers
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
GCD of numbers is the greatest common divisor
So, the GCD (585, 370, 755) = 5.
Given numbers are 585, 370, 755
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 370 are 2 x 5 x 37
Prime factors of 755 are 5 x 151
The highest common occurrence is 51
Therefore, GCD of 585, 370, 755 is 5.
Given numbers are 585, 370, 755
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 370) = 43290
GCD(585, 370) = ( 585 x 370 ) / 43290
= 585 / 370
= 585
Step2:
LCM(5, 755) = 755
GCD(5, 755) = ( 5 x 755 ) / 755
= 5 / 755
= 5
So, Greatest Common Divisor of 585, 370, 755 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 370, 755
The greatest common divisor of numbers 585, 370, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 370, 755 is 5.
1. What is the GCD of 585, 370, 755?
GCD of given numbers 585, 370, 755 is 5
2. How to calculate the greatest common divisor of 585, 370, 755?
We can find the highest common divisor of 585, 370, 755 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 585, 370, 755 i.e 5.
3. How can I use the GCD of 585, 370, 755Calculator?
Out the numbers 585, 370, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.