GCD of 766, 976, 27, 519 Calculator

Given Input numbers are 766, 976, 27, 519

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 766, 976, 27, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 976, 27, 519 is 1.

Therefore, GCD of numbers 766, 976, 27, 519 is 1

Given Input Data is 766, 976, 27, 519

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 519 is 3 x 173

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, 976) = 373808

GCD(766, 976) = ( 766 x 976 ) / 373808

GCD(766, 976) = 747616 / 373808

GCD(766, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

GCD of 766, 976, 27, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 771, 90, 864
• GCD of 390, 570, 12, 397
• GCD of 576, 366, 38, 985
• GCD of 878, 458, 34, 946
• GCD of 226, 962, 36, 619

1. What is the GCD of 766, 976, 27, 519?

GCD of 766, 976, 27, 519 is 1

2. Where do I get the detailed procedure to find GCD of 766, 976, 27, 519?

You can find a detailed procedure to find GCD of 766, 976, 27, 519 on our page.

3. How to find GCD of 766, 976, 27, 519 on a calculator?

You can find the GCD of 766, 976, 27, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.