GCD of 548, 434, 842, 215 Calculator

Given Input numbers are 548, 434, 842, 215

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 434

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

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 548, 434, 842, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 434, 842, 215 is 1.

Therefore, GCD of numbers 548, 434, 842, 215 is 1

Given Input Data is 548, 434, 842, 215

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 434 is 2 x 7 x 31

Prime Factorization of 842 is 2 x 421

Prime Factorization of 215 is 5 x 43

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, 434) = 118916

GCD(548, 434) = ( 548 x 434 ) / 118916

GCD(548, 434) = 237832 / 118916

GCD(548, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 215

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

LCM(2, 215) = 430

GCD(2, 215) = ( 2 x 215 ) / 430

GCD(2, 215) = 430 / 430

GCD(2, 215) = 1

GCD of 548, 434, 842, 215 is 1

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1. What is the GCD of 548, 434, 842, 215?

GCD of 548, 434, 842, 215 is 1

2. Where do I get the detailed procedure to find GCD of 548, 434, 842, 215?

You can find a detailed procedure to find GCD of 548, 434, 842, 215 on our page.

3. How to find GCD of 548, 434, 842, 215 on a calculator?

You can find the GCD of 548, 434, 842, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.