GCD of 548, 314, 28, 123 Calculator

Given Input numbers are 548, 314, 28, 123

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

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 548, 314, 28, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 314, 28, 123 is 1.

Therefore, GCD of numbers 548, 314, 28, 123 is 1

Given Input Data is 548, 314, 28, 123

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 314 is 2 x 157

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 123 is 3 x 41

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(548, 314) = 86036

GCD(548, 314) = ( 548 x 314 ) / 86036

GCD(548, 314) = 172072 / 86036

GCD(548, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 123

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

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

GCD(2, 123) = 246 / 246

GCD(2, 123) = 1

GCD of 548, 314, 28, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 132, 52, 407
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• GCD of 887, 919, 13, 797
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• GCD of 100, 773, 58, 706

1. What is the GCD of 548, 314, 28, 123?

GCD of 548, 314, 28, 123 is 1

2. Where do I get the detailed procedure to find GCD of 548, 314, 28, 123?

You can find a detailed procedure to find GCD of 548, 314, 28, 123 on our page.

3. How to find GCD of 548, 314, 28, 123 on a calculator?

You can find the GCD of 548, 314, 28, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.