GCD of 195, 510, 495, 351 Calculator

Given Input numbers are 195, 510, 495, 351

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 351 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (195, 510, 495, 351) = 3.

Given numbers are 195, 510, 495, 351

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 495 are 3 x 3 x 5 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 195, 510, 495, 351 is 3.

Given numbers are 195, 510, 495, 351

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

Apply this formula for all numbers.

Step1:

LCM(195, 510) = 6630

GCD(195, 510) = ( 195 x 510 ) / 6630

= 195 / 510

= 195

Step2:

LCM(15, 495) = 495

GCD(15, 495) = ( 15 x 495 ) / 495

= 15 / 495

= 15

Step3:

LCM(15, 351) = 1755

GCD(15, 351) = ( 15 x 351 ) / 1755

= 15 / 351

= 15

So, Greatest Common Divisor of 195, 510, 495, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 892, 497, 250
• GCD of 830, 113, 368, 740
• GCD of 976, 287, 258, 988
• GCD of 127, 396, 380, 241
• GCD of 829, 156, 233, 340

Given numbers are 195, 510, 495, 351
The greatest common divisor of numbers 195, 510, 495, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 510, 495, 351 is 3.

1. What is the GCD of 195, 510, 495, 351?

GCD of given numbers 195, 510, 495, 351 is 3

2. How to calculate the greatest common divisor of 195, 510, 495, 351?

We can find the highest common divisor of 195, 510, 495, 351 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, 510, 495, 351 i.e 3.

3. How can I use the GCD of 195, 510, 495, 351Calculator?

Out the numbers 195, 510, 495, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.