GCD of 741, 522, 39, 745 Calculator

Given Input numbers are 741, 522, 39, 745

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

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 39

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

1, 3, 13, 39

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 741, 522, 39, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 522, 39, 745 is 1.

Therefore, GCD of numbers 741, 522, 39, 745 is 1

Given Input Data is 741, 522, 39, 745

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 39 is 3 x 13

Prime Factorization of 745 is 5 x 149

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(741, 522) = 128934

GCD(741, 522) = ( 741 x 522 ) / 128934

GCD(741, 522) = 386802 / 128934

GCD(741, 522) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 745

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

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

GCD(3, 745) = 2235 / 2235

GCD(3, 745) = 1

GCD of 741, 522, 39, 745 is 1

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1. What is the GCD of 741, 522, 39, 745?

GCD of 741, 522, 39, 745 is 1

2. Where do I get the detailed procedure to find GCD of 741, 522, 39, 745?

You can find a detailed procedure to find GCD of 741, 522, 39, 745 on our page.

3. How to find GCD of 741, 522, 39, 745 on a calculator?

You can find the GCD of 741, 522, 39, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.