GCD of 723, 676, 182, 548 Calculator

Given Input numbers are 723, 676, 182, 548

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 723, 676, 182, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 676, 182, 548 is 1.

Therefore, GCD of numbers 723, 676, 182, 548 is 1

Given Input Data is 723, 676, 182, 548

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 548 is 2 x 2 x 137

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, 676) = 488748

GCD(723, 676) = ( 723 x 676 ) / 488748

GCD(723, 676) = 488748 / 488748

GCD(723, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 723, 676, 182, 548 is 1

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1. What is the GCD of 723, 676, 182, 548?

GCD of 723, 676, 182, 548 is 1

2. Where do I get the detailed procedure to find GCD of 723, 676, 182, 548?

You can find a detailed procedure to find GCD of 723, 676, 182, 548 on our page.

3. How to find GCD of 723, 676, 182, 548 on a calculator?

You can find the GCD of 723, 676, 182, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.