GCD of 308, 548, 441, 614 Calculator

Given Input numbers are 308, 548, 441, 614

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 308, 548, 441, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 548, 441, 614 is 1.

Therefore, GCD of numbers 308, 548, 441, 614 is 1

Given Input Data is 308, 548, 441, 614

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 614 is 2 x 307

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(308, 548) = 42196

GCD(308, 548) = ( 308 x 548 ) / 42196

GCD(308, 548) = 168784 / 42196

GCD(308, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 441

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

LCM(4, 441) = 1764

GCD(4, 441) = ( 4 x 441 ) / 1764

GCD(4, 441) = 1764 / 1764

GCD(4, 441) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 308, 548, 441, 614 is 1

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1. What is the GCD of 308, 548, 441, 614?

GCD of 308, 548, 441, 614 is 1

2. Where do I get the detailed procedure to find GCD of 308, 548, 441, 614?

You can find a detailed procedure to find GCD of 308, 548, 441, 614 on our page.

3. How to find GCD of 308, 548, 441, 614 on a calculator?

You can find the GCD of 308, 548, 441, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.