GCD of 743, 765, 39, 643 Calculator

Given Input numbers are 743, 765, 39, 643

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

Divisors of 743

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

1, 743

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 643

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

1, 643

Greatest Common Divisior

We found the divisors of 743, 765, 39, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 765, 39, 643 is 1.

Therefore, GCD of numbers 743, 765, 39, 643 is 1

Given Input Data is 743, 765, 39, 643

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

Prime Factorization of 743 is 743

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 39 is 3 x 13

Prime Factorization of 643 is 643

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(743, 765) = 568395

GCD(743, 765) = ( 743 x 765 ) / 568395

GCD(743, 765) = 568395 / 568395

GCD(743, 765) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 743, 765, 39, 643 is 1

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1. What is the GCD of 743, 765, 39, 643?

GCD of 743, 765, 39, 643 is 1

2. Where do I get the detailed procedure to find GCD of 743, 765, 39, 643?

You can find a detailed procedure to find GCD of 743, 765, 39, 643 on our page.

3. How to find GCD of 743, 765, 39, 643 on a calculator?

You can find the GCD of 743, 765, 39, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.