GCD of 351, 285, 315, 348 Calculator

Given Input numbers are 351, 285, 315, 348

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (351, 285, 315, 348) = 3.

Given numbers are 351, 285, 315, 348

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 285 are 3 x 5 x 19

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

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 351, 285, 315, 348 is 3.

Given numbers are 351, 285, 315, 348

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

Apply this formula for all numbers.

Step1:

LCM(351, 285) = 33345

GCD(351, 285) = ( 351 x 285 ) / 33345

= 351 / 285

= 351

Step2:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 351, 285, 315, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 279, 459, 335
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Given numbers are 351, 285, 315, 348
The greatest common divisor of numbers 351, 285, 315, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 285, 315, 348 is 3.

1. What is the GCD of 351, 285, 315, 348?

GCD of given numbers 351, 285, 315, 348 is 3

2. How to calculate the greatest common divisor of 351, 285, 315, 348?

We can find the highest common divisor of 351, 285, 315, 348 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 351, 285, 315, 348 i.e 3.

3. How can I use the GCD of 351, 285, 315, 348Calculator?

Out the numbers 351, 285, 315, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.