GCD of 771, 801, 363, 827 Calculator

Given Input numbers are 771, 801, 363, 827

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 771, 801, 363, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 801, 363, 827 is 1.

Therefore, GCD of numbers 771, 801, 363, 827 is 1

Given Input Data is 771, 801, 363, 827

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 827 is 827

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(771, 801) = 205857

GCD(771, 801) = ( 771 x 801 ) / 205857

GCD(771, 801) = 617571 / 205857

GCD(771, 801) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 363

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

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

GCD(3, 363) = 1089 / 363

GCD(3, 363) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

GCD of 771, 801, 363, 827 is 1

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1. What is the GCD of 771, 801, 363, 827?

GCD of 771, 801, 363, 827 is 1

2. Where do I get the detailed procedure to find GCD of 771, 801, 363, 827?

You can find a detailed procedure to find GCD of 771, 801, 363, 827 on our page.

3. How to find GCD of 771, 801, 363, 827 on a calculator?

You can find the GCD of 771, 801, 363, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.