GCD of 300, 743, 21, 741 Calculator

Given Input numbers are 300, 743, 21, 741

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 741

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

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

Greatest Common Divisior

We found the divisors of 300, 743, 21, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 743, 21, 741 is 1.

Therefore, GCD of numbers 300, 743, 21, 741 is 1

Given Input Data is 300, 743, 21, 741

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 743 is 743

Prime Factorization of 21 is 3 x 7

Prime Factorization of 741 is 3 x 13 x 19

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(300, 743) = 222900

GCD(300, 743) = ( 300 x 743 ) / 222900

GCD(300, 743) = 222900 / 222900

GCD(300, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

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

GCD of 300, 743, 21, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 659, 89, 120
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1. What is the GCD of 300, 743, 21, 741?

GCD of 300, 743, 21, 741 is 1

2. Where do I get the detailed procedure to find GCD of 300, 743, 21, 741?

You can find a detailed procedure to find GCD of 300, 743, 21, 741 on our page.

3. How to find GCD of 300, 743, 21, 741 on a calculator?

You can find the GCD of 300, 743, 21, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.