GCD of 17, 358, 492, 675 Calculator

Given Input numbers are 17, 358, 492, 675

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 17, 358, 492, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 358, 492, 675 is 1.

Therefore, GCD of numbers 17, 358, 492, 675 is 1

Given Input Data is 17, 358, 492, 675

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

Prime Factorization of 17 is 17

Prime Factorization of 358 is 2 x 179

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(17, 358) = 6086

GCD(17, 358) = ( 17 x 358 ) / 6086

GCD(17, 358) = 6086 / 6086

GCD(17, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 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 17, 358, 492, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 528, 483, 786
• GCD of 58, 467, 267, 992
• GCD of 32, 860, 575, 552
• GCD of 98, 443, 955, 517
• GCD of 17, 217, 606, 191

1. What is the GCD of 17, 358, 492, 675?

GCD of 17, 358, 492, 675 is 1

2. Where do I get the detailed procedure to find GCD of 17, 358, 492, 675?

You can find a detailed procedure to find GCD of 17, 358, 492, 675 on our page.

3. How to find GCD of 17, 358, 492, 675 on a calculator?

You can find the GCD of 17, 358, 492, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.