GCD of 297, 460, 17, 357 Calculator

Given Input numbers are 297, 460, 17, 357

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 17

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

1, 17

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 297, 460, 17, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 460, 17, 357 is 1.

Therefore, GCD of numbers 297, 460, 17, 357 is 1

Given Input Data is 297, 460, 17, 357

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 17 is 17

Prime Factorization of 357 is 3 x 7 x 17

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(297, 460) = 136620

GCD(297, 460) = ( 297 x 460 ) / 136620

GCD(297, 460) = 136620 / 136620

GCD(297, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 297, 460, 17, 357 is 1

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• GCD of 254, 894, 23, 541
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1. What is the GCD of 297, 460, 17, 357?

GCD of 297, 460, 17, 357 is 1

2. Where do I get the detailed procedure to find GCD of 297, 460, 17, 357?

You can find a detailed procedure to find GCD of 297, 460, 17, 357 on our page.

3. How to find GCD of 297, 460, 17, 357 on a calculator?

You can find the GCD of 297, 460, 17, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.