GCD of 401, 289, 15, 726 Calculator

Given Input numbers are 401, 289, 15, 726

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 401, 289, 15, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 289, 15, 726 is 1.

Therefore, GCD of numbers 401, 289, 15, 726 is 1

Given Input Data is 401, 289, 15, 726

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

Prime Factorization of 401 is 401

Prime Factorization of 289 is 17 x 17

Prime Factorization of 15 is 3 x 5

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(401, 289) = 115889

GCD(401, 289) = ( 401 x 289 ) / 115889

GCD(401, 289) = 115889 / 115889

GCD(401, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 401, 289, 15, 726 is 1

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1. What is the GCD of 401, 289, 15, 726?

GCD of 401, 289, 15, 726 is 1

2. Where do I get the detailed procedure to find GCD of 401, 289, 15, 726?

You can find a detailed procedure to find GCD of 401, 289, 15, 726 on our page.

3. How to find GCD of 401, 289, 15, 726 on a calculator?

You can find the GCD of 401, 289, 15, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.