GCD of 279, 364, 723, 801 Calculator

Given Input numbers are 279, 364, 723, 801

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 801

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

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 279, 364, 723, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 364, 723, 801 is 1.

Therefore, GCD of numbers 279, 364, 723, 801 is 1

Given Input Data is 279, 364, 723, 801

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 723 is 3 x 241

Prime Factorization of 801 is 3 x 3 x 89

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(279, 364) = 101556

GCD(279, 364) = ( 279 x 364 ) / 101556

GCD(279, 364) = 101556 / 101556

GCD(279, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 801

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

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

GCD(1, 801) = 801 / 801

GCD(1, 801) = 1

GCD of 279, 364, 723, 801 is 1

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1. What is the GCD of 279, 364, 723, 801?

GCD of 279, 364, 723, 801 is 1

2. Where do I get the detailed procedure to find GCD of 279, 364, 723, 801?

You can find a detailed procedure to find GCD of 279, 364, 723, 801 on our page.

3. How to find GCD of 279, 364, 723, 801 on a calculator?

You can find the GCD of 279, 364, 723, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.