GCD of 548, 192, 441, 862 Calculator

Given Input numbers are 548, 192, 441, 862

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 548, 192, 441, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 192, 441, 862 is 1.

Therefore, GCD of numbers 548, 192, 441, 862 is 1

Given Input Data is 548, 192, 441, 862

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 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 862 is 2 x 431

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, 192) = 26304

GCD(548, 192) = ( 548 x 192 ) / 26304

GCD(548, 192) = 105216 / 26304

GCD(548, 192) = 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 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

GCD of 548, 192, 441, 862 is 1

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1. What is the GCD of 548, 192, 441, 862?

GCD of 548, 192, 441, 862 is 1

2. Where do I get the detailed procedure to find GCD of 548, 192, 441, 862?

You can find a detailed procedure to find GCD of 548, 192, 441, 862 on our page.

3. How to find GCD of 548, 192, 441, 862 on a calculator?

You can find the GCD of 548, 192, 441, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.