GCD of 766, 767, 552, 299 Calculator

Given Input numbers are 766, 767, 552, 299

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

Divisors of 766

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

1, 2, 383, 766

Divisors of 767

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

1, 13, 59, 767

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 766, 767, 552, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 767, 552, 299 is 1.

Therefore, GCD of numbers 766, 767, 552, 299 is 1

Given Input Data is 766, 767, 552, 299

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 767 is 13 x 59

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(766, 767) = 587522

GCD(766, 767) = ( 766 x 767 ) / 587522

GCD(766, 767) = 587522 / 587522

GCD(766, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 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 766, 767, 552, 299 is 1

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1. What is the GCD of 766, 767, 552, 299?

GCD of 766, 767, 552, 299 is 1

2. Where do I get the detailed procedure to find GCD of 766, 767, 552, 299?

You can find a detailed procedure to find GCD of 766, 767, 552, 299 on our page.

3. How to find GCD of 766, 767, 552, 299 on a calculator?

You can find the GCD of 766, 767, 552, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.