GCD of 286, 705, 18, 275 Calculator

Given Input numbers are 286, 705, 18, 275

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 286, 705, 18, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 705, 18, 275 is 1.

Therefore, GCD of numbers 286, 705, 18, 275 is 1

Given Input Data is 286, 705, 18, 275

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 275 is 5 x 5 x 11

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(286, 705) = 201630

GCD(286, 705) = ( 286 x 705 ) / 201630

GCD(286, 705) = 201630 / 201630

GCD(286, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 286, 705, 18, 275 is 1

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1. What is the GCD of 286, 705, 18, 275?

GCD of 286, 705, 18, 275 is 1

2. Where do I get the detailed procedure to find GCD of 286, 705, 18, 275?

You can find a detailed procedure to find GCD of 286, 705, 18, 275 on our page.

3. How to find GCD of 286, 705, 18, 275 on a calculator?

You can find the GCD of 286, 705, 18, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.