GCD of 15, 355, 498, 675 Calculator

Given Input numbers are 15, 355, 498, 675

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

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

Greatest Common Divisior

We found the divisors of 15, 355, 498, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 355, 498, 675 is 1.

Therefore, GCD of numbers 15, 355, 498, 675 is 1

Given Input Data is 15, 355, 498, 675

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 15 is 3 x 5

Prime Factorization of 355 is 5 x 71

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(15, 355) = 1065

GCD(15, 355) = ( 15 x 355 ) / 1065

GCD(15, 355) = 5325 / 1065

GCD(15, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 498

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

LCM(5, 498) = 2490

GCD(5, 498) = ( 5 x 498 ) / 2490

GCD(5, 498) = 2490 / 2490

GCD(5, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 15, 355, 498, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 614, 799, 435
• GCD of 68, 543, 926, 144
• GCD of 67, 954, 684, 559
• GCD of 86, 317, 379, 281
• GCD of 84, 763, 209, 366

1. What is the GCD of 15, 355, 498, 675?

GCD of 15, 355, 498, 675 is 1

2. Where do I get the detailed procedure to find GCD of 15, 355, 498, 675?

You can find a detailed procedure to find GCD of 15, 355, 498, 675 on our page.

3. How to find GCD of 15, 355, 498, 675 on a calculator?

You can find the GCD of 15, 355, 498, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.