GCD of 764, 920, 515, 999 Calculator

Given Input numbers are 764, 920, 515, 999

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 764, 920, 515, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 920, 515, 999 is 1.

Therefore, GCD of numbers 764, 920, 515, 999 is 1

Given Input Data is 764, 920, 515, 999

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 515 is 5 x 103

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(764, 920) = 175720

GCD(764, 920) = ( 764 x 920 ) / 175720

GCD(764, 920) = 702880 / 175720

GCD(764, 920) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 515

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

LCM(4, 515) = 2060

GCD(4, 515) = ( 4 x 515 ) / 2060

GCD(4, 515) = 2060 / 2060

GCD(4, 515) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 764, 920, 515, 999 is 1

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1. What is the GCD of 764, 920, 515, 999?

GCD of 764, 920, 515, 999 is 1

2. Where do I get the detailed procedure to find GCD of 764, 920, 515, 999?

You can find a detailed procedure to find GCD of 764, 920, 515, 999 on our page.

3. How to find GCD of 764, 920, 515, 999 on a calculator?

You can find the GCD of 764, 920, 515, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.