GCD of 723, 444, 91, 542 Calculator

Given Input numbers are 723, 444, 91, 542

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 723, 444, 91, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 444, 91, 542 is 1.

Therefore, GCD of numbers 723, 444, 91, 542 is 1

Given Input Data is 723, 444, 91, 542

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 91 is 7 x 13

Prime Factorization of 542 is 2 x 271

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(723, 444) = 107004

GCD(723, 444) = ( 723 x 444 ) / 107004

GCD(723, 444) = 321012 / 107004

GCD(723, 444) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 91

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

LCM(3, 91) = 273

GCD(3, 91) = ( 3 x 91 ) / 273

GCD(3, 91) = 273 / 273

GCD(3, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 723, 444, 91, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 568, 49, 139
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• GCD of 272, 474, 71, 644
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• GCD of 471, 696, 15, 565

1. What is the GCD of 723, 444, 91, 542?

GCD of 723, 444, 91, 542 is 1

2. Where do I get the detailed procedure to find GCD of 723, 444, 91, 542?

You can find a detailed procedure to find GCD of 723, 444, 91, 542 on our page.

3. How to find GCD of 723, 444, 91, 542 on a calculator?

You can find the GCD of 723, 444, 91, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.