GCD of 315, 675, 342 Calculator

Given Input numbers are 315, 675, 342

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (315, 675, 342) = 9.

Given numbers are 315, 675, 342

The list of prime factors of all numbers are

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3²

Therefore, GCD of 315, 675, 342 is 9.

Given numbers are 315, 675, 342

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

Apply this formula for all numbers.

Step1:

LCM(315, 675) = 4725

GCD(315, 675) = ( 315 x 675 ) / 4725

= 315 / 675

= 315

Step2:

LCM(45, 342) = 1710

GCD(45, 342) = ( 45 x 342 ) / 1710

= 45 / 342

= 45

So, Greatest Common Divisor of 315, 675, 342 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 263, 401
• GCD of 176, 577, 612
• GCD of 715, 858, 983
• GCD of 551, 916, 609
• GCD of 577, 495, 966

Given numbers are 315, 675, 342
The greatest common divisor of numbers 315, 675, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 675, 342 is 9.

1. What is the GCD of 315, 675, 342?

GCD of given numbers 315, 675, 342 is 9

2. How to calculate the greatest common divisor of 315, 675, 342?

We can find the highest common divisor of 315, 675, 342 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, 675, 342 i.e 9.

3. How can I use the GCD of 315, 675, 342Calculator?

Out the numbers 315, 675, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.