GCD of 195, 385, 585 Calculator

Given Input numbers are 195, 385, 585

In the factoring method, we have to find the divisors of all numbers

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

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

GCD of numbers is the greatest common divisor

So, the GCD (195, 385, 585) = 5.

Given numbers are 195, 385, 585

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 385 are 5 x 7 x 11

Prime factors of 585 are 3 x 3 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 195, 385, 585 is 5.

Given numbers are 195, 385, 585

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(195, 385) = 15015

GCD(195, 385) = ( 195 x 385 ) / 15015

= 195 / 385

= 195

Step2:

LCM(5, 585) = 585

GCD(5, 585) = ( 5 x 585 ) / 585

= 5 / 585

= 5

So, Greatest Common Divisor of 195, 385, 585 is 5

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Given numbers are 195, 385, 585
The greatest common divisor of numbers 195, 385, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 385, 585 is 5.

1. What is the GCD of 195, 385, 585?

GCD of given numbers 195, 385, 585 is 5

2. How to calculate the greatest common divisor of 195, 385, 585?

We can find the highest common divisor of 195, 385, 585 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 195, 385, 585 i.e 5.

3. How can I use the GCD of 195, 385, 585Calculator?

Out the numbers 195, 385, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.