GCD of 548, 396, 221, 434 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 548, 396, 221, 434 i.e. 1 largest integer that divides all the numbers equally.

GCD of 548, 396, 221, 434 is 1

GCD(548, 396, 221, 434) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 548, 396, 221, 434 is 1

GCD(548, 396, 221, 434) = 1

GCD of 548,396,221,434 Calculator

GCDof 548,396,221,434 is 1

Given Input numbers are 548, 396, 221, 434

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 548, 396, 221, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 396, 221, 434 is 1.

Therefore, GCD of numbers 548, 396, 221, 434 is 1

Finding GCD of 548, 396, 221, 434 using Prime Factorization

Given Input Data is 548, 396, 221, 434

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 221 is 13 x 17

Prime Factorization of 434 is 2 x 7 x 31

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 548, 396, 221, 434 using LCM Formula

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, 396) = 54252

GCD(548, 396) = ( 548 x 396 ) / 54252

GCD(548, 396) = 217008 / 54252

GCD(548, 396) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 221

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

LCM(4, 221) = 884

GCD(4, 221) = ( 4 x 221 ) / 884

GCD(4, 221) = 884 / 884

GCD(4, 221) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 548, 396, 221, 434 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 548, 396, 221, 434

1. What is the GCD of 548, 396, 221, 434?

GCD of 548, 396, 221, 434 is 1


2. Where do I get the detailed procedure to find GCD of 548, 396, 221, 434?

You can find a detailed procedure to find GCD of 548, 396, 221, 434 on our page.


3. How to find GCD of 548, 396, 221, 434 on a calculator?

You can find the GCD of 548, 396, 221, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.