GCD of 299, 814, 54, 766 Calculator

Given Input numbers are 299, 814, 54, 766

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

Divisors of 299

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

1, 13, 23, 299

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 299, 814, 54, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 814, 54, 766 is 1.

Therefore, GCD of numbers 299, 814, 54, 766 is 1

Given Input Data is 299, 814, 54, 766

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 766 is 2 x 383

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(299, 814) = 243386

GCD(299, 814) = ( 299 x 814 ) / 243386

GCD(299, 814) = 243386 / 243386

GCD(299, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 299, 814, 54, 766 is 1

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1. What is the GCD of 299, 814, 54, 766?

GCD of 299, 814, 54, 766 is 1

2. Where do I get the detailed procedure to find GCD of 299, 814, 54, 766?

You can find a detailed procedure to find GCD of 299, 814, 54, 766 on our page.

3. How to find GCD of 299, 814, 54, 766 on a calculator?

You can find the GCD of 299, 814, 54, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.