GCD of 548, 442, 85, 223 Calculator

Given Input numbers are 548, 442, 85, 223

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 548, 442, 85, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 442, 85, 223 is 1.

Therefore, GCD of numbers 548, 442, 85, 223 is 1

Given Input Data is 548, 442, 85, 223

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 442 is 2 x 13 x 17

Prime Factorization of 85 is 5 x 17

Prime Factorization of 223 is 223

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, 442) = 121108

GCD(548, 442) = ( 548 x 442 ) / 121108

GCD(548, 442) = 242216 / 121108

GCD(548, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 548, 442, 85, 223 is 1

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• GCD of 834, 648, 94, 447
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• GCD of 271, 868, 30, 146

1. What is the GCD of 548, 442, 85, 223?

GCD of 548, 442, 85, 223 is 1

2. Where do I get the detailed procedure to find GCD of 548, 442, 85, 223?

You can find a detailed procedure to find GCD of 548, 442, 85, 223 on our page.

3. How to find GCD of 548, 442, 85, 223 on a calculator?

You can find the GCD of 548, 442, 85, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.