GCD of 764, 240, 442, 829 Calculator

Given Input numbers are 764, 240, 442, 829

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 764, 240, 442, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 240, 442, 829 is 1.

Therefore, GCD of numbers 764, 240, 442, 829 is 1

Given Input Data is 764, 240, 442, 829

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 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 829 is 829

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, 240) = 45840

GCD(764, 240) = ( 764 x 240 ) / 45840

GCD(764, 240) = 183360 / 45840

GCD(764, 240) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 442

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

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

GCD(4, 442) = 1768 / 884

GCD(4, 442) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 764, 240, 442, 829 is 1

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1. What is the GCD of 764, 240, 442, 829?

GCD of 764, 240, 442, 829 is 1

2. Where do I get the detailed procedure to find GCD of 764, 240, 442, 829?

You can find a detailed procedure to find GCD of 764, 240, 442, 829 on our page.

3. How to find GCD of 764, 240, 442, 829 on a calculator?

You can find the GCD of 764, 240, 442, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.