GCD of 766, 796, 205, 852 Calculator

Given Input numbers are 766, 796, 205, 852

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 766, 796, 205, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 796, 205, 852 is 1.

Therefore, GCD of numbers 766, 796, 205, 852 is 1

Given Input Data is 766, 796, 205, 852

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 205 is 5 x 41

Prime Factorization of 852 is 2 x 2 x 3 x 71

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, 796) = 304868

GCD(766, 796) = ( 766 x 796 ) / 304868

GCD(766, 796) = 609736 / 304868

GCD(766, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 205

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

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

GCD(2, 205) = 410 / 410

GCD(2, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 766, 796, 205, 852 is 1

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1. What is the GCD of 766, 796, 205, 852?

GCD of 766, 796, 205, 852 is 1

2. Where do I get the detailed procedure to find GCD of 766, 796, 205, 852?

You can find a detailed procedure to find GCD of 766, 796, 205, 852 on our page.

3. How to find GCD of 766, 796, 205, 852 on a calculator?

You can find the GCD of 766, 796, 205, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.