GCD of 791, 660, 41, 407 Calculator

Given Input numbers are 791, 660, 41, 407

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

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 41

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

1, 41

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 791, 660, 41, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 660, 41, 407 is 1.

Therefore, GCD of numbers 791, 660, 41, 407 is 1

Given Input Data is 791, 660, 41, 407

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

Prime Factorization of 791 is 7 x 113

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

Prime Factorization of 41 is 41

Prime Factorization of 407 is 11 x 37

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(791, 660) = 522060

GCD(791, 660) = ( 791 x 660 ) / 522060

GCD(791, 660) = 522060 / 522060

GCD(791, 660) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 791, 660, 41, 407 is 1

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1. What is the GCD of 791, 660, 41, 407?

GCD of 791, 660, 41, 407 is 1

2. Where do I get the detailed procedure to find GCD of 791, 660, 41, 407?

You can find a detailed procedure to find GCD of 791, 660, 41, 407 on our page.

3. How to find GCD of 791, 660, 41, 407 on a calculator?

You can find the GCD of 791, 660, 41, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.