GCD of 428, 272, 276, 723 Calculator

Given Input numbers are 428, 272, 276, 723

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 723

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

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 428, 272, 276, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 272, 276, 723 is 1.

Therefore, GCD of numbers 428, 272, 276, 723 is 1

Given Input Data is 428, 272, 276, 723

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 723 is 3 x 241

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(428, 272) = 29104

GCD(428, 272) = ( 428 x 272 ) / 29104

GCD(428, 272) = 116416 / 29104

GCD(428, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 276

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

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

GCD(4, 276) = 1104 / 276

GCD(4, 276) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 723

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

LCM(4, 723) = 2892

GCD(4, 723) = ( 4 x 723 ) / 2892

GCD(4, 723) = 2892 / 2892

GCD(4, 723) = 1

GCD of 428, 272, 276, 723 is 1

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1. What is the GCD of 428, 272, 276, 723?

GCD of 428, 272, 276, 723 is 1

2. Where do I get the detailed procedure to find GCD of 428, 272, 276, 723?

You can find a detailed procedure to find GCD of 428, 272, 276, 723 on our page.

3. How to find GCD of 428, 272, 276, 723 on a calculator?

You can find the GCD of 428, 272, 276, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.