GCD of 315, 305, 135 Calculator

Given Input numbers are 315, 305, 135

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (315, 305, 135) = 5.

Given numbers are 315, 305, 135

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 305 are 5 x 61

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 315, 305, 135 is 5.

Given numbers are 315, 305, 135

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

Apply this formula for all numbers.

Step1:

LCM(315, 305) = 19215

GCD(315, 305) = ( 315 x 305 ) / 19215

= 315 / 305

= 315

Step2:

LCM(5, 135) = 135

GCD(5, 135) = ( 5 x 135 ) / 135

= 5 / 135

= 5

So, Greatest Common Divisor of 315, 305, 135 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 777, 723
• GCD of 890, 774, 371
• GCD of 204, 868, 467
• GCD of 864, 119, 565
• GCD of 130, 804, 566

Given numbers are 315, 305, 135
The greatest common divisor of numbers 315, 305, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 305, 135 is 5.

1. What is the GCD of 315, 305, 135?

GCD of given numbers 315, 305, 135 is 5

2. How to calculate the greatest common divisor of 315, 305, 135?

We can find the highest common divisor of 315, 305, 135 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 315, 305, 135 i.e 5.

3. How can I use the GCD of 315, 305, 135Calculator?

Out the numbers 315, 305, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.