GCD of 766, 514, 807, 442 Calculator

Given Input numbers are 766, 514, 807, 442

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 766, 514, 807, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 514, 807, 442 is 1.

Therefore, GCD of numbers 766, 514, 807, 442 is 1

Given Input Data is 766, 514, 807, 442

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 514 is 2 x 257

Prime Factorization of 807 is 3 x 269

Prime Factorization of 442 is 2 x 13 x 17

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, 514) = 196862

GCD(766, 514) = ( 766 x 514 ) / 196862

GCD(766, 514) = 393724 / 196862

GCD(766, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 766, 514, 807, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 488, 487, 805
• GCD of 721, 391, 515, 232
• GCD of 475, 108, 657, 189
• GCD of 222, 912, 522, 683
• GCD of 384, 900, 877, 550

1. What is the GCD of 766, 514, 807, 442?

GCD of 766, 514, 807, 442 is 1

2. Where do I get the detailed procedure to find GCD of 766, 514, 807, 442?

You can find a detailed procedure to find GCD of 766, 514, 807, 442 on our page.

3. How to find GCD of 766, 514, 807, 442 on a calculator?

You can find the GCD of 766, 514, 807, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.