GCD of 41, 677, 660, 289 Calculator

Given Input numbers are 41, 677, 660, 289

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 289

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

1, 17, 289

Greatest Common Divisior

We found the divisors of 41, 677, 660, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 677, 660, 289 is 1.

Therefore, GCD of numbers 41, 677, 660, 289 is 1

Given Input Data is 41, 677, 660, 289

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

Prime Factorization of 41 is 41

Prime Factorization of 677 is 677

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 289 is 17 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(41, 677) = 27757

GCD(41, 677) = ( 41 x 677 ) / 27757

GCD(41, 677) = 27757 / 27757

GCD(41, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 41, 677, 660, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 251, 801, 643
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1. What is the GCD of 41, 677, 660, 289?

GCD of 41, 677, 660, 289 is 1

2. Where do I get the detailed procedure to find GCD of 41, 677, 660, 289?

You can find a detailed procedure to find GCD of 41, 677, 660, 289 on our page.

3. How to find GCD of 41, 677, 660, 289 on a calculator?

You can find the GCD of 41, 677, 660, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.