GCD of 744, 643, 21, 767 Calculator

Given Input numbers are 744, 643, 21, 767

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 21

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

1, 3, 7, 21

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 744, 643, 21, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 643, 21, 767 is 1.

Therefore, GCD of numbers 744, 643, 21, 767 is 1

Given Input Data is 744, 643, 21, 767

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 643 is 643

Prime Factorization of 21 is 3 x 7

Prime Factorization of 767 is 13 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(744, 643) = 478392

GCD(744, 643) = ( 744 x 643 ) / 478392

GCD(744, 643) = 478392 / 478392

GCD(744, 643) = 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 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 744, 643, 21, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 314, 99, 672
• GCD of 790, 924, 22, 496
• GCD of 500, 651, 64, 293
• GCD of 108, 147, 30, 211
• GCD of 272, 675, 78, 130

1. What is the GCD of 744, 643, 21, 767?

GCD of 744, 643, 21, 767 is 1

2. Where do I get the detailed procedure to find GCD of 744, 643, 21, 767?

You can find a detailed procedure to find GCD of 744, 643, 21, 767 on our page.

3. How to find GCD of 744, 643, 21, 767 on a calculator?

You can find the GCD of 744, 643, 21, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.