GCD of 426, 273, 542, 744 Calculator

Given Input numbers are 426, 273, 542, 744

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 542

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

1, 2, 271, 542

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

Greatest Common Divisior

We found the divisors of 426, 273, 542, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 273, 542, 744 is 1.

Therefore, GCD of numbers 426, 273, 542, 744 is 1

Given Input Data is 426, 273, 542, 744

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 542 is 2 x 271

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

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(426, 273) = 38766

GCD(426, 273) = ( 426 x 273 ) / 38766

GCD(426, 273) = 116298 / 38766

GCD(426, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 542

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

LCM(3, 542) = 1626

GCD(3, 542) = ( 3 x 542 ) / 1626

GCD(3, 542) = 1626 / 1626

GCD(3, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 426, 273, 542, 744 is 1

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1. What is the GCD of 426, 273, 542, 744?

GCD of 426, 273, 542, 744 is 1

2. Where do I get the detailed procedure to find GCD of 426, 273, 542, 744?

You can find a detailed procedure to find GCD of 426, 273, 542, 744 on our page.

3. How to find GCD of 426, 273, 542, 744 on a calculator?

You can find the GCD of 426, 273, 542, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.