GCD of 285, 542, 767, 299 Calculator

Given Input numbers are 285, 542, 767, 299

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 285, 542, 767, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 542, 767, 299 is 1.

Therefore, GCD of numbers 285, 542, 767, 299 is 1

Given Input Data is 285, 542, 767, 299

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 542 is 2 x 271

Prime Factorization of 767 is 13 x 59

Prime Factorization of 299 is 13 x 23

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(285, 542) = 154470

GCD(285, 542) = ( 285 x 542 ) / 154470

GCD(285, 542) = 154470 / 154470

GCD(285, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 285, 542, 767, 299 is 1

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1. What is the GCD of 285, 542, 767, 299?

GCD of 285, 542, 767, 299 is 1

2. Where do I get the detailed procedure to find GCD of 285, 542, 767, 299?

You can find a detailed procedure to find GCD of 285, 542, 767, 299 on our page.

3. How to find GCD of 285, 542, 767, 299 on a calculator?

You can find the GCD of 285, 542, 767, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.