GCD of 63, 313, 741, 413 Calculator

Given Input numbers are 63, 313, 741, 413

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 63, 313, 741, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 313, 741, 413 is 1.

Therefore, GCD of numbers 63, 313, 741, 413 is 1

Given Input Data is 63, 313, 741, 413

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 313 is 313

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 413 is 7 x 59

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(63, 313) = 19719

GCD(63, 313) = ( 63 x 313 ) / 19719

GCD(63, 313) = 19719 / 19719

GCD(63, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 63, 313, 741, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 210, 963, 611
• GCD of 77, 779, 691, 734
• GCD of 29, 866, 973, 479
• GCD of 35, 575, 358, 801
• GCD of 22, 287, 500, 652

1. What is the GCD of 63, 313, 741, 413?

GCD of 63, 313, 741, 413 is 1

2. Where do I get the detailed procedure to find GCD of 63, 313, 741, 413?

You can find a detailed procedure to find GCD of 63, 313, 741, 413 on our page.

3. How to find GCD of 63, 313, 741, 413 on a calculator?

You can find the GCD of 63, 313, 741, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.